What is the Least Common Multiple of 73614 and 73624?

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 73614 and 73624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73614 and 73624, than apply into the LCM equation.

GCF(73614,73624) = 2
LCM(73614,73624) = ( 73614 × 73624) / 2
LCM(73614,73624) = 5419757136 / 2
LCM(73614,73624) = 2709878568

Least Common Multiple (LCM) of 73614 and 73624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73614 and 73624. First we will calculate the prime factors of 73614 and 73624.

Prime Factorization of 73614

Prime Factorization of 73624

Now multiplying the highest exponent prime factors to calculate the LCM of 73614 and 73624.

LCM(73614,73624) = 2³ × 3¹ × 12269¹ × 9203¹
LCM(73614,73624) = 2709878568