GCF and LCM Calculator Logo

What is the Least Common Multiple of 28056 and 28061?

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 28056 and 28061 is 787279416.

LCM(28056,28061) = 787279416

LCM Calculator and
and

Least Common Multiple of 28056 and 28061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28056 and 28061, than apply into the LCM equation.

GCF(28056,28061) = 1
LCM(28056,28061) = ( 28056 × 28061) / 1
LCM(28056,28061) = 787279416 / 1
LCM(28056,28061) = 787279416

Least Common Multiple (LCM) of 28056 and 28061 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28056 and 28061. First we will calculate the prime factors of 28056 and 28061.

Prime Factorization of 28056

Prime factors of 28056 are 2, 3, 7, 167. Prime factorization of 28056 in exponential form is:

28056 = 23 × 31 × 71 × 1671

Prime Factorization of 28061

Prime factors of 28061 are 11, 2551. Prime factorization of 28061 in exponential form is:

28061 = 111 × 25511

Now multiplying the highest exponent prime factors to calculate the LCM of 28056 and 28061.

LCM(28056,28061) = 23 × 31 × 71 × 1671 × 111 × 25511
LCM(28056,28061) = 787279416