What is the Least Common Multiple of 96038 and 96056?

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 96038 and 96056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96038 and 96056, than apply into the LCM equation.

GCF(96038,96056) = 2
LCM(96038,96056) = ( 96038 × 96056) / 2
LCM(96038,96056) = 9225026128 / 2
LCM(96038,96056) = 4612513064

Least Common Multiple (LCM) of 96038 and 96056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96038 and 96056. First we will calculate the prime factors of 96038 and 96056.

Prime Factorization of 96038

Prime Factorization of 96056

Now multiplying the highest exponent prime factors to calculate the LCM of 96038 and 96056.

LCM(96038,96056) = 2³ × 31¹ × 1549¹ × 12007¹
LCM(96038,96056) = 4612513064