What is the Least Common Multiple of 62304 and 62310?

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 62304 and 62310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62304 and 62310, than apply into the LCM equation.

GCF(62304,62310) = 6
LCM(62304,62310) = ( 62304 × 62310) / 6
LCM(62304,62310) = 3882162240 / 6
LCM(62304,62310) = 647027040

Least Common Multiple (LCM) of 62304 and 62310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62304 and 62310. First we will calculate the prime factors of 62304 and 62310.

Prime Factorization of 62304

Prime Factorization of 62310

Now multiplying the highest exponent prime factors to calculate the LCM of 62304 and 62310.

LCM(62304,62310) = 2⁵ × 3¹ × 11¹ × 59¹ × 5¹ × 31¹ × 67¹
LCM(62304,62310) = 647027040