What is the Least Common Multiple of 62400 and 62415?

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 62400 and 62415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62400 and 62415, than apply into the LCM equation.

GCF(62400,62415) = 15
LCM(62400,62415) = ( 62400 × 62415) / 15
LCM(62400,62415) = 3894696000 / 15
LCM(62400,62415) = 259646400

Least Common Multiple (LCM) of 62400 and 62415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62400 and 62415. First we will calculate the prime factors of 62400 and 62415.

Prime Factorization of 62400

Prime Factorization of 62415

Now multiplying the highest exponent prime factors to calculate the LCM of 62400 and 62415.

LCM(62400,62415) = 2⁶ × 3² × 5² × 13¹ × 19¹ × 73¹
LCM(62400,62415) = 259646400