GCF and LCM Calculator Logo

What is the Least Common Multiple of 56975 and 56991?

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 56975 and 56991 is 3247062225.

LCM(56975,56991) = 3247062225

LCM Calculator and
and

Least Common Multiple of 56975 and 56991 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56975 and 56991, than apply into the LCM equation.

GCF(56975,56991) = 1
LCM(56975,56991) = ( 56975 × 56991) / 1
LCM(56975,56991) = 3247062225 / 1
LCM(56975,56991) = 3247062225

Least Common Multiple (LCM) of 56975 and 56991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56975 and 56991. First we will calculate the prime factors of 56975 and 56991.

Prime Factorization of 56975

Prime factors of 56975 are 5, 43, 53. Prime factorization of 56975 in exponential form is:

56975 = 52 × 431 × 531

Prime Factorization of 56991

Prime factors of 56991 are 3, 11, 157. Prime factorization of 56991 in exponential form is:

56991 = 31 × 112 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 56975 and 56991.

LCM(56975,56991) = 52 × 431 × 531 × 31 × 112 × 1571
LCM(56975,56991) = 3247062225