GCF and LCM Calculator Logo

What is the Least Common Multiple of 54862 and 54868?

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 54862 and 54868 is 1505084108.

LCM(54862,54868) = 1505084108

LCM Calculator and
and

Least Common Multiple of 54862 and 54868 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54862 and 54868, than apply into the LCM equation.

GCF(54862,54868) = 2
LCM(54862,54868) = ( 54862 × 54868) / 2
LCM(54862,54868) = 3010168216 / 2
LCM(54862,54868) = 1505084108

Least Common Multiple (LCM) of 54862 and 54868 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54862 and 54868. First we will calculate the prime factors of 54862 and 54868.

Prime Factorization of 54862

Prime factors of 54862 are 2, 27431. Prime factorization of 54862 in exponential form is:

54862 = 21 × 274311

Prime Factorization of 54868

Prime factors of 54868 are 2, 11, 29, 43. Prime factorization of 54868 in exponential form is:

54868 = 22 × 111 × 291 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 54862 and 54868.

LCM(54862,54868) = 22 × 274311 × 111 × 291 × 431
LCM(54862,54868) = 1505084108