What is the Least Common Multiple of 76128 and 76144?

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 76128 and 76144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76128 and 76144, than apply into the LCM equation.

GCF(76128,76144) = 16
LCM(76128,76144) = ( 76128 × 76144) / 16
LCM(76128,76144) = 5796690432 / 16
LCM(76128,76144) = 362293152

Least Common Multiple (LCM) of 76128 and 76144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76128 and 76144. First we will calculate the prime factors of 76128 and 76144.

Prime Factorization of 76128

Prime Factorization of 76144

Now multiplying the highest exponent prime factors to calculate the LCM of 76128 and 76144.

LCM(76128,76144) = 2⁵ × 3¹ × 13¹ × 61¹ × 4759¹
LCM(76128,76144) = 362293152