What is the Least Common Multiple of 72268 and 72287?

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 72268 and 72287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72268 and 72287, than apply into the LCM equation.

GCF(72268,72287) = 1
LCM(72268,72287) = ( 72268 × 72287) / 1
LCM(72268,72287) = 5224036916 / 1
LCM(72268,72287) = 5224036916

Least Common Multiple (LCM) of 72268 and 72287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72268 and 72287. First we will calculate the prime factors of 72268 and 72287.

Prime Factorization of 72268

Prime Factorization of 72287

Now multiplying the highest exponent prime factors to calculate the LCM of 72268 and 72287.

LCM(72268,72287) = 2² × 7¹ × 29¹ × 89¹ × 72287¹
LCM(72268,72287) = 5224036916