What is the Least Common Multiple of 75128 and 75141?

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 75128 and 75141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75128 and 75141, than apply into the LCM equation.

GCF(75128,75141) = 1
LCM(75128,75141) = ( 75128 × 75141) / 1
LCM(75128,75141) = 5645193048 / 1
LCM(75128,75141) = 5645193048

Least Common Multiple (LCM) of 75128 and 75141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75128 and 75141. First we will calculate the prime factors of 75128 and 75141.

Prime Factorization of 75128

Prime Factorization of 75141

Now multiplying the highest exponent prime factors to calculate the LCM of 75128 and 75141.

LCM(75128,75141) = 2³ × 9391¹ × 3³ × 11² × 23¹
LCM(75128,75141) = 5645193048