GCF and LCM Calculator Logo

What is the Least Common Multiple of 54652 and 54659?

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 54652 and 54659 is 2987223668.

LCM(54652,54659) = 2987223668

LCM Calculator and
and

Least Common Multiple of 54652 and 54659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54652 and 54659, than apply into the LCM equation.

GCF(54652,54659) = 1
LCM(54652,54659) = ( 54652 × 54659) / 1
LCM(54652,54659) = 2987223668 / 1
LCM(54652,54659) = 2987223668

Least Common Multiple (LCM) of 54652 and 54659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54652 and 54659. First we will calculate the prime factors of 54652 and 54659.

Prime Factorization of 54652

Prime factors of 54652 are 2, 13, 1051. Prime factorization of 54652 in exponential form is:

54652 = 22 × 131 × 10511

Prime Factorization of 54659

Prime factors of 54659 are 11, 4969. Prime factorization of 54659 in exponential form is:

54659 = 111 × 49691

Now multiplying the highest exponent prime factors to calculate the LCM of 54652 and 54659.

LCM(54652,54659) = 22 × 131 × 10511 × 111 × 49691
LCM(54652,54659) = 2987223668