What is the Least Common Multiple of 54375 and 54382?

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 54375 and 54382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54375 and 54382, than apply into the LCM equation.

GCF(54375,54382) = 1
LCM(54375,54382) = ( 54375 × 54382) / 1
LCM(54375,54382) = 2957021250 / 1
LCM(54375,54382) = 2957021250

Least Common Multiple (LCM) of 54375 and 54382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54375 and 54382. First we will calculate the prime factors of 54375 and 54382.

Prime Factorization of 54375

Prime Factorization of 54382

Now multiplying the highest exponent prime factors to calculate the LCM of 54375 and 54382.

LCM(54375,54382) = 3¹ × 5⁴ × 29¹ × 2¹ × 27191¹
LCM(54375,54382) = 2957021250