GCF and LCM Calculator Logo

What is the Least Common Multiple of 66552 and 66557?

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 (LCM) of 66552 and 66557 is 4429501464.

LCM(66552,66557) = 4429501464

LCM Calculator and
and

Least Common Multiple of 66552 and 66557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66552 and 66557, than apply into the LCM equation.

GCF(66552,66557) = 1
LCM(66552,66557) = ( 66552 × 66557) / 1
LCM(66552,66557) = 4429501464 / 1
LCM(66552,66557) = 4429501464

Least Common Multiple (LCM) of 66552 and 66557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66552 and 66557. First we will calculate the prime factors of 66552 and 66557.

Prime Factorization of 66552

Prime factors of 66552 are 2, 3, 47, 59. Prime factorization of 66552 in exponential form is:

66552 = 23 × 31 × 471 × 591

Prime Factorization of 66557

Prime factors of 66557 are 19, 31, 113. Prime factorization of 66557 in exponential form is:

66557 = 191 × 311 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 66552 and 66557.

LCM(66552,66557) = 23 × 31 × 471 × 591 × 191 × 311 × 1131
LCM(66552,66557) = 4429501464