What is the Least Common Multiple of 62415 and 62430?

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 62415 and 62430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62415 and 62430, than apply into the LCM equation.

GCF(62415,62430) = 15
LCM(62415,62430) = ( 62415 × 62430) / 15
LCM(62415,62430) = 3896568450 / 15
LCM(62415,62430) = 259771230

Least Common Multiple (LCM) of 62415 and 62430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62415 and 62430. First we will calculate the prime factors of 62415 and 62430.

Prime Factorization of 62415

Prime Factorization of 62430

Now multiplying the highest exponent prime factors to calculate the LCM of 62415 and 62430.

LCM(62415,62430) = 3² × 5¹ × 19¹ × 73¹ × 2¹ × 2081¹
LCM(62415,62430) = 259771230