What is the Least Common Multiple of 72267 and 72285?

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 72267 and 72285 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72267 and 72285, than apply into the LCM equation.

GCF(72267,72285) = 3
LCM(72267,72285) = ( 72267 × 72285) / 3
LCM(72267,72285) = 5223820095 / 3
LCM(72267,72285) = 1741273365

Least Common Multiple (LCM) of 72267 and 72285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72267 and 72285. First we will calculate the prime factors of 72267 and 72285.

Prime Factorization of 72267

Prime Factorization of 72285

Now multiplying the highest exponent prime factors to calculate the LCM of 72267 and 72285.

LCM(72267,72285) = 3¹ × 13¹ × 17¹ × 109¹ × 5¹ × 61¹ × 79¹
LCM(72267,72285) = 1741273365