What is the Least Common Multiple of 96270 and 96282?

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 96282 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 96282, than apply into the LCM equation.

GCF(96270,96282) = 6
LCM(96270,96282) = ( 96270 × 96282) / 6
LCM(96270,96282) = 9269068140 / 6
LCM(96270,96282) = 1544844690

Least Common Multiple (LCM) of 96270 and 96282 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96270 and 96282. First we will calculate the prime factors of 96270 and 96282.

Prime Factorization of 96270

Prime Factorization of 96282

Now multiplying the highest exponent prime factors to calculate the LCM of 96270 and 96282.

LCM(96270,96282) = 2¹ × 3³ × 5¹ × 3209¹ × 1783¹
LCM(96270,96282) = 1544844690