GCF and LCM Calculator Logo

What is the Least Common Multiple of 56998 and 57002?

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 56998 and 57002 is 1624499998.

LCM(56998,57002) = 1624499998

LCM Calculator and
and

Least Common Multiple of 56998 and 57002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56998 and 57002, than apply into the LCM equation.

GCF(56998,57002) = 2
LCM(56998,57002) = ( 56998 × 57002) / 2
LCM(56998,57002) = 3248999996 / 2
LCM(56998,57002) = 1624499998

Least Common Multiple (LCM) of 56998 and 57002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56998 and 57002. First we will calculate the prime factors of 56998 and 57002.

Prime Factorization of 56998

Prime factors of 56998 are 2, 28499. Prime factorization of 56998 in exponential form is:

56998 = 21 × 284991

Prime Factorization of 57002

Prime factors of 57002 are 2, 11, 2591. Prime factorization of 57002 in exponential form is:

57002 = 21 × 111 × 25911

Now multiplying the highest exponent prime factors to calculate the LCM of 56998 and 57002.

LCM(56998,57002) = 21 × 284991 × 111 × 25911
LCM(56998,57002) = 1624499998