Find the L.C.M. and H.C.F. of 26 and 91 and verify that L.C.M. × H.C.F. = product of two numbers.

Prime factors of 26 are 13 x 2

Prime factors of 91 are 13 x 7

Therefore, the L.C.M of 26 & 91 is 13 x 2 x 7 = 182.

The H.C.F is 13

Product of LCM & HCF = 182 x 13 = 2366

Product of the given numbers = 26 x 91 = 2366

Hence, we proved that L.C.M H.C.F = product of two numbers.

Hence, we proved that L.C.M x H.C.F = product of two numbers.