What is the Least Common Multiple of 96270 and 96288?

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 96270 and 96288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96270 and 96288, than apply into the LCM equation.

GCF(96270,96288) = 6
LCM(96270,96288) = ( 96270 × 96288) / 6
LCM(96270,96288) = 9269645760 / 6
LCM(96270,96288) = 1544940960

Least Common Multiple (LCM) of 96270 and 96288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96270 and 96288. First we will calculate the prime factors of 96270 and 96288.

Prime Factorization of 96270

Prime Factorization of 96288

Now multiplying the highest exponent prime factors to calculate the LCM of 96270 and 96288.

LCM(96270,96288) = 2⁵ × 3¹ × 5¹ × 3209¹ × 17¹ × 59¹
LCM(96270,96288) = 1544940960