What is the Least Common Multiple of 72238 and 72252?

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 72238 and 72252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72238 and 72252, than apply into the LCM equation.

GCF(72238,72252) = 2
LCM(72238,72252) = ( 72238 × 72252) / 2
LCM(72238,72252) = 5219339976 / 2
LCM(72238,72252) = 2609669988

Least Common Multiple (LCM) of 72238 and 72252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72238 and 72252. First we will calculate the prime factors of 72238 and 72252.

Prime Factorization of 72238

Prime Factorization of 72252

Now multiplying the highest exponent prime factors to calculate the LCM of 72238 and 72252.

LCM(72238,72252) = 2² × 19¹ × 1901¹ × 3⁴ × 223¹
LCM(72238,72252) = 2609669988