What is the Least Common Multiple of 38734 and 38746?

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 38734 and 38746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38734 and 38746, than apply into the LCM equation.

GCF(38734,38746) = 2
LCM(38734,38746) = ( 38734 × 38746) / 2
LCM(38734,38746) = 1500787564 / 2
LCM(38734,38746) = 750393782

Least Common Multiple (LCM) of 38734 and 38746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38734 and 38746. First we will calculate the prime factors of 38734 and 38746.

Prime Factorization of 38734

Prime Factorization of 38746

Now multiplying the highest exponent prime factors to calculate the LCM of 38734 and 38746.

LCM(38734,38746) = 2¹ × 107¹ × 181¹ × 19373¹
LCM(38734,38746) = 750393782