What is the Least Common Multiple of 7519 and 7538?

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 7519 and 7538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7519 and 7538, than apply into the LCM equation.

GCF(7519,7538) = 1
LCM(7519,7538) = ( 7519 × 7538) / 1
LCM(7519,7538) = 56678222 / 1
LCM(7519,7538) = 56678222

Least Common Multiple (LCM) of 7519 and 7538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7519 and 7538. First we will calculate the prime factors of 7519 and 7538.

Prime Factorization of 7519

Prime Factorization of 7538

Now multiplying the highest exponent prime factors to calculate the LCM of 7519 and 7538.

LCM(7519,7538) = 73¹ × 103¹ × 2¹ × 3769¹
LCM(7519,7538) = 56678222