What is the Least Common Multiple of 75216 and 75228?

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 75216 and 75228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75216 and 75228, than apply into the LCM equation.

GCF(75216,75228) = 12
LCM(75216,75228) = ( 75216 × 75228) / 12
LCM(75216,75228) = 5658349248 / 12
LCM(75216,75228) = 471529104

Least Common Multiple (LCM) of 75216 and 75228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75216 and 75228. First we will calculate the prime factors of 75216 and 75228.

Prime Factorization of 75216

Prime Factorization of 75228

Now multiplying the highest exponent prime factors to calculate the LCM of 75216 and 75228.

LCM(75216,75228) = 2⁴ × 3¹ × 1567¹ × 6269¹
LCM(75216,75228) = 471529104