GCF and LCM Calculator Logo

What is the Least Common Multiple of 66555 and 66572?

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 66555 and 66572 is 260629380.

LCM(66555,66572) = 260629380

LCM Calculator and
and

Least Common Multiple of 66555 and 66572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66555 and 66572, than apply into the LCM equation.

GCF(66555,66572) = 17
LCM(66555,66572) = ( 66555 × 66572) / 17
LCM(66555,66572) = 4430699460 / 17
LCM(66555,66572) = 260629380

Least Common Multiple (LCM) of 66555 and 66572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66555 and 66572. First we will calculate the prime factors of 66555 and 66572.

Prime Factorization of 66555

Prime factors of 66555 are 3, 5, 17, 29. Prime factorization of 66555 in exponential form is:

66555 = 33 × 51 × 171 × 291

Prime Factorization of 66572

Prime factors of 66572 are 2, 11, 17, 89. Prime factorization of 66572 in exponential form is:

66572 = 22 × 111 × 171 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 66555 and 66572.

LCM(66555,66572) = 33 × 51 × 171 × 291 × 22 × 111 × 891
LCM(66555,66572) = 260629380