GCF and LCM Calculator Logo

What is the Least Common Multiple of 56963 and 56980?

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 56963 and 56980 is 3245751740.

LCM(56963,56980) = 3245751740

LCM Calculator and
and

Least Common Multiple of 56963 and 56980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56963 and 56980, than apply into the LCM equation.

GCF(56963,56980) = 1
LCM(56963,56980) = ( 56963 × 56980) / 1
LCM(56963,56980) = 3245751740 / 1
LCM(56963,56980) = 3245751740

Least Common Multiple (LCM) of 56963 and 56980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56963 and 56980. First we will calculate the prime factors of 56963 and 56980.

Prime Factorization of 56963

Prime factors of 56963 are 56963. Prime factorization of 56963 in exponential form is:

56963 = 569631

Prime Factorization of 56980

Prime factors of 56980 are 2, 5, 7, 11, 37. Prime factorization of 56980 in exponential form is:

56980 = 22 × 51 × 71 × 111 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 56963 and 56980.

LCM(56963,56980) = 569631 × 22 × 51 × 71 × 111 × 371
LCM(56963,56980) = 3245751740