GCF and LCM Calculator Logo

What is the Least Common Multiple of 54846 and 54857?

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 54846 and 54857 is 273517002.

LCM(54846,54857) = 273517002

LCM Calculator and
and

Least Common Multiple of 54846 and 54857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54846 and 54857, than apply into the LCM equation.

GCF(54846,54857) = 11
LCM(54846,54857) = ( 54846 × 54857) / 11
LCM(54846,54857) = 3008687022 / 11
LCM(54846,54857) = 273517002

Least Common Multiple (LCM) of 54846 and 54857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54846 and 54857. First we will calculate the prime factors of 54846 and 54857.

Prime Factorization of 54846

Prime factors of 54846 are 2, 3, 11, 277. Prime factorization of 54846 in exponential form is:

54846 = 21 × 32 × 111 × 2771

Prime Factorization of 54857

Prime factors of 54857 are 11, 4987. Prime factorization of 54857 in exponential form is:

54857 = 111 × 49871

Now multiplying the highest exponent prime factors to calculate the LCM of 54846 and 54857.

LCM(54846,54857) = 21 × 32 × 111 × 2771 × 49871
LCM(54846,54857) = 273517002