What is the Least Common Multiple of 54672 and 54692?

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 54672 and 54692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54672 and 54692, than apply into the LCM equation.

GCF(54672,54692) = 4
LCM(54672,54692) = ( 54672 × 54692) / 4
LCM(54672,54692) = 2990121024 / 4
LCM(54672,54692) = 747530256

Least Common Multiple (LCM) of 54672 and 54692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54672 and 54692. First we will calculate the prime factors of 54672 and 54692.

Prime Factorization of 54672

Prime Factorization of 54692

Now multiplying the highest exponent prime factors to calculate the LCM of 54672 and 54692.

LCM(54672,54692) = 2⁴ × 3¹ × 17¹ × 67¹ × 11² × 113¹
LCM(54672,54692) = 747530256