What is the Least Common Multiple of 72282 and 72288?

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 72282 and 72288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72282 and 72288, than apply into the LCM equation.

GCF(72282,72288) = 6
LCM(72282,72288) = ( 72282 × 72288) / 6
LCM(72282,72288) = 5225121216 / 6
LCM(72282,72288) = 870853536

Least Common Multiple (LCM) of 72282 and 72288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72282 and 72288. First we will calculate the prime factors of 72282 and 72288.

Prime Factorization of 72282

Prime Factorization of 72288

Now multiplying the highest exponent prime factors to calculate the LCM of 72282 and 72288.

LCM(72282,72288) = 2⁵ × 3² × 7¹ × 1721¹ × 251¹
LCM(72282,72288) = 870853536