What is the Least Common Multiple of 96054 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 96054 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 96054 and 96070, than apply into the LCM equation.

GCF(96054,96070) = 2
LCM(96054,96070) = ( 96054 × 96070) / 2
LCM(96054,96070) = 9227907780 / 2
LCM(96054,96070) = 4613953890

Least Common Multiple (LCM) of 96054 and 96070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96054 and 96070. First we will calculate the prime factors of 96054 and 96070.

Prime Factorization of 96054

Prime Factorization of 96070

Now multiplying the highest exponent prime factors to calculate the LCM of 96054 and 96070.

LCM(96054,96070) = 2¹ × 3¹ × 7¹ × 2287¹ × 5¹ × 13¹ × 739¹
LCM(96054,96070) = 4613953890