What is the Least Common Multiple of 54348 and 54364?

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 54348 and 54364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54348 and 54364, than apply into the LCM equation.

GCF(54348,54364) = 4
LCM(54348,54364) = ( 54348 × 54364) / 4
LCM(54348,54364) = 2954574672 / 4
LCM(54348,54364) = 738643668

Least Common Multiple (LCM) of 54348 and 54364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54348 and 54364. First we will calculate the prime factors of 54348 and 54364.

Prime Factorization of 54348

Prime Factorization of 54364

Now multiplying the highest exponent prime factors to calculate the LCM of 54348 and 54364.

LCM(54348,54364) = 2² × 3¹ × 7¹ × 647¹ × 13591¹
LCM(54348,54364) = 738643668