What is the Least Common Multiple of 54676 and 54689?

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 of 54676 and 54689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54676 and 54689, than apply into the LCM equation.

GCF(54676,54689) = 1
LCM(54676,54689) = ( 54676 × 54689) / 1
LCM(54676,54689) = 2990175764 / 1
LCM(54676,54689) = 2990175764

Least Common Multiple (LCM) of 54676 and 54689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54676 and 54689. First we will calculate the prime factors of 54676 and 54689.

Prime Factorization of 54676

Prime Factorization of 54689

Now multiplying the highest exponent prime factors to calculate the LCM of 54676 and 54689.

LCM(54676,54689) = 2² × 13669¹ × 17¹ × 3217¹
LCM(54676,54689) = 2990175764