What is the Least Common Multiple of 54238 and 54252?

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 54238 and 54252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54238 and 54252, than apply into the LCM equation.

GCF(54238,54252) = 2
LCM(54238,54252) = ( 54238 × 54252) / 2
LCM(54238,54252) = 2942519976 / 2
LCM(54238,54252) = 1471259988

Least Common Multiple (LCM) of 54238 and 54252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54238 and 54252. First we will calculate the prime factors of 54238 and 54252.

Prime Factorization of 54238

Prime Factorization of 54252

Now multiplying the highest exponent prime factors to calculate the LCM of 54238 and 54252.

LCM(54238,54252) = 2² × 47¹ × 577¹ × 3² × 11¹ × 137¹
LCM(54238,54252) = 1471259988