What is the Least Common Multiple of 75048 and 75060?

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 75048 and 75060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75048 and 75060, than apply into the LCM equation.

GCF(75048,75060) = 12
LCM(75048,75060) = ( 75048 × 75060) / 12
LCM(75048,75060) = 5633102880 / 12
LCM(75048,75060) = 469425240

Least Common Multiple (LCM) of 75048 and 75060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75048 and 75060. First we will calculate the prime factors of 75048 and 75060.

Prime Factorization of 75048

Prime Factorization of 75060

Now multiplying the highest exponent prime factors to calculate the LCM of 75048 and 75060.

LCM(75048,75060) = 2³ × 3³ × 53¹ × 59¹ × 5¹ × 139¹
LCM(75048,75060) = 469425240