GCF and LCM Calculator Logo

What is the Least Common Multiple of 56969 and 56977?

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 56969 and 56977 is 3245922713.

LCM(56969,56977) = 3245922713

LCM Calculator and
and

Least Common Multiple of 56969 and 56977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56969 and 56977, than apply into the LCM equation.

GCF(56969,56977) = 1
LCM(56969,56977) = ( 56969 × 56977) / 1
LCM(56969,56977) = 3245922713 / 1
LCM(56969,56977) = 3245922713

Least Common Multiple (LCM) of 56969 and 56977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56969 and 56977. First we will calculate the prime factors of 56969 and 56977.

Prime Factorization of 56969

Prime factors of 56969 are 11, 5179. Prime factorization of 56969 in exponential form is:

56969 = 111 × 51791

Prime Factorization of 56977

Prime factors of 56977 are 227, 251. Prime factorization of 56977 in exponential form is:

56977 = 2271 × 2511

Now multiplying the highest exponent prime factors to calculate the LCM of 56969 and 56977.

LCM(56969,56977) = 111 × 51791 × 2271 × 2511
LCM(56969,56977) = 3245922713