What is the Least Common Multiple of 30552 and 30564?

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 30552 and 30564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30552 and 30564, than apply into the LCM equation.

GCF(30552,30564) = 12
LCM(30552,30564) = ( 30552 × 30564) / 12
LCM(30552,30564) = 933791328 / 12
LCM(30552,30564) = 77815944

Least Common Multiple (LCM) of 30552 and 30564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30552 and 30564. First we will calculate the prime factors of 30552 and 30564.

Prime Factorization of 30552

Prime Factorization of 30564

Now multiplying the highest exponent prime factors to calculate the LCM of 30552 and 30564.

LCM(30552,30564) = 2³ × 3³ × 19¹ × 67¹ × 283¹
LCM(30552,30564) = 77815944