What is the Least Common Multiple of 96051 and 96070?

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 96051 and 96070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96051 and 96070, than apply into the LCM equation.

GCF(96051,96070) = 1
LCM(96051,96070) = ( 96051 × 96070) / 1
LCM(96051,96070) = 9227619570 / 1
LCM(96051,96070) = 9227619570

Least Common Multiple (LCM) of 96051 and 96070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96051 and 96070. First we will calculate the prime factors of 96051 and 96070.

Prime Factorization of 96051

Prime Factorization of 96070

Now multiplying the highest exponent prime factors to calculate the LCM of 96051 and 96070.

LCM(96051,96070) = 3¹ × 101¹ × 317¹ × 2¹ × 5¹ × 13¹ × 739¹
LCM(96051,96070) = 9227619570