What is the Least Common Multiple of 86734 and 86746?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 86734 and 86746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86734 and 86746, than apply into the LCM equation.

GCF(86734,86746) = 2
LCM(86734,86746) = ( 86734 × 86746) / 2
LCM(86734,86746) = 7523827564 / 2
LCM(86734,86746) = 3761913782

Least Common Multiple (LCM) of 86734 and 86746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86734 and 86746. First we will calculate the prime factors of 86734 and 86746.

Prime Factorization of 86734

Prime Factorization of 86746

Now multiplying the highest exponent prime factors to calculate the LCM of 86734 and 86746.

LCM(86734,86746) = 2¹ × 17¹ × 2551¹ × 11¹ × 3943¹
LCM(86734,86746) = 3761913782