What is the Least Common Multiple of 58452 and 58464?

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 58452 and 58464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58452 and 58464, than apply into the LCM equation.

GCF(58452,58464) = 12
LCM(58452,58464) = ( 58452 × 58464) / 12
LCM(58452,58464) = 3417337728 / 12
LCM(58452,58464) = 284778144

Least Common Multiple (LCM) of 58452 and 58464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58452 and 58464. First we will calculate the prime factors of 58452 and 58464.

Prime Factorization of 58452

Prime Factorization of 58464

Now multiplying the highest exponent prime factors to calculate the LCM of 58452 and 58464.

LCM(58452,58464) = 2⁵ × 3² × 4871¹ × 7¹ × 29¹
LCM(58452,58464) = 284778144