What is the Least Common Multiple of 72606 and 72625?

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 72606 and 72625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72606 and 72625, than apply into the LCM equation.

GCF(72606,72625) = 1
LCM(72606,72625) = ( 72606 × 72625) / 1
LCM(72606,72625) = 5273010750 / 1
LCM(72606,72625) = 5273010750

Least Common Multiple (LCM) of 72606 and 72625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72606 and 72625. First we will calculate the prime factors of 72606 and 72625.

Prime Factorization of 72606

Prime Factorization of 72625

Now multiplying the highest exponent prime factors to calculate the LCM of 72606 and 72625.

LCM(72606,72625) = 2¹ × 3¹ × 12101¹ × 5³ × 7¹ × 83¹
LCM(72606,72625) = 5273010750