What is the Least Common Multiple of 62304 and 62319?

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 62319 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 62319, than apply into the LCM equation.

GCF(62304,62319) = 3
LCM(62304,62319) = ( 62304 × 62319) / 3
LCM(62304,62319) = 3882722976 / 3
LCM(62304,62319) = 1294240992

Least Common Multiple (LCM) of 62304 and 62319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62304 and 62319. First we will calculate the prime factors of 62304 and 62319.

Prime Factorization of 62304

Prime Factorization of 62319

Now multiplying the highest exponent prime factors to calculate the LCM of 62304 and 62319.

LCM(62304,62319) = 2⁵ × 3¹ × 11¹ × 59¹ × 20773¹
LCM(62304,62319) = 1294240992