What is the Least Common Multiple of 72609 and 72624?

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 72609 and 72624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72609 and 72624, than apply into the LCM equation.

GCF(72609,72624) = 3
LCM(72609,72624) = ( 72609 × 72624) / 3
LCM(72609,72624) = 5273156016 / 3
LCM(72609,72624) = 1757718672

Least Common Multiple (LCM) of 72609 and 72624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72609 and 72624. First we will calculate the prime factors of 72609 and 72624.

Prime Factorization of 72609

Prime Factorization of 72624

Now multiplying the highest exponent prime factors to calculate the LCM of 72609 and 72624.

LCM(72609,72624) = 3¹ × 24203¹ × 2⁴ × 17¹ × 89¹
LCM(72609,72624) = 1757718672