What is the Least Common Multiple of 52458 and 52464?

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 52458 and 52464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52458 and 52464, than apply into the LCM equation.

GCF(52458,52464) = 6
LCM(52458,52464) = ( 52458 × 52464) / 6
LCM(52458,52464) = 2752156512 / 6
LCM(52458,52464) = 458692752

Least Common Multiple (LCM) of 52458 and 52464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52458 and 52464. First we will calculate the prime factors of 52458 and 52464.

Prime Factorization of 52458

Prime Factorization of 52464

Now multiplying the highest exponent prime factors to calculate the LCM of 52458 and 52464.

LCM(52458,52464) = 2⁴ × 3¹ × 7¹ × 1249¹ × 1093¹
LCM(52458,52464) = 458692752