What is the Least Common Multiple of 72534 and 72538?

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 72534 and 72538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72534 and 72538, than apply into the LCM equation.

GCF(72534,72538) = 2
LCM(72534,72538) = ( 72534 × 72538) / 2
LCM(72534,72538) = 5261471292 / 2
LCM(72534,72538) = 2630735646

Least Common Multiple (LCM) of 72534 and 72538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72534 and 72538. First we will calculate the prime factors of 72534 and 72538.

Prime Factorization of 72534

Prime Factorization of 72538

Now multiplying the highest exponent prime factors to calculate the LCM of 72534 and 72538.

LCM(72534,72538) = 2¹ × 3¹ × 7¹ × 11¹ × 157¹ × 36269¹
LCM(72534,72538) = 2630735646