What is the Least Common Multiple of 72910 and 72926?

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 72910 and 72926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72910 and 72926, than apply into the LCM equation.

GCF(72910,72926) = 2
LCM(72910,72926) = ( 72910 × 72926) / 2
LCM(72910,72926) = 5317034660 / 2
LCM(72910,72926) = 2658517330

Least Common Multiple (LCM) of 72910 and 72926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72910 and 72926. First we will calculate the prime factors of 72910 and 72926.

Prime Factorization of 72910

Prime Factorization of 72926

Now multiplying the highest exponent prime factors to calculate the LCM of 72910 and 72926.

LCM(72910,72926) = 2¹ × 5¹ × 23¹ × 317¹ × 7¹ × 5209¹
LCM(72910,72926) = 2658517330