GCF and LCM Calculator Logo

What is the Least Common Multiple of 27720 and 27732?

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 27720 and 27732 is 64060920.

LCM(27720,27732) = 64060920

LCM Calculator and
and

Least Common Multiple of 27720 and 27732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27720 and 27732, than apply into the LCM equation.

GCF(27720,27732) = 12
LCM(27720,27732) = ( 27720 × 27732) / 12
LCM(27720,27732) = 768731040 / 12
LCM(27720,27732) = 64060920

Least Common Multiple (LCM) of 27720 and 27732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27720 and 27732. First we will calculate the prime factors of 27720 and 27732.

Prime Factorization of 27720

Prime factors of 27720 are 2, 3, 5, 7, 11. Prime factorization of 27720 in exponential form is:

27720 = 23 × 32 × 51 × 71 × 111

Prime Factorization of 27732

Prime factors of 27732 are 2, 3, 2311. Prime factorization of 27732 in exponential form is:

27732 = 22 × 31 × 23111

Now multiplying the highest exponent prime factors to calculate the LCM of 27720 and 27732.

LCM(27720,27732) = 23 × 32 × 51 × 71 × 111 × 23111
LCM(27720,27732) = 64060920