What is the Least Common Multiple of 81926 and 81931?

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 81926 and 81931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81926 and 81931, than apply into the LCM equation.

GCF(81926,81931) = 1
LCM(81926,81931) = ( 81926 × 81931) / 1
LCM(81926,81931) = 6712279106 / 1
LCM(81926,81931) = 6712279106

Least Common Multiple (LCM) of 81926 and 81931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81926 and 81931. First we will calculate the prime factors of 81926 and 81931.

Prime Factorization of 81926

Prime Factorization of 81931

Now multiplying the highest exponent prime factors to calculate the LCM of 81926 and 81931.

LCM(81926,81931) = 2¹ × 13¹ × 23¹ × 137¹ × 81931¹
LCM(81926,81931) = 6712279106