What is the Least Common Multiple of 62415 and 62433?

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 62433 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 62433, than apply into the LCM equation.

GCF(62415,62433) = 9
LCM(62415,62433) = ( 62415 × 62433) / 9
LCM(62415,62433) = 3896755695 / 9
LCM(62415,62433) = 432972855

Least Common Multiple (LCM) of 62415 and 62433 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62415 and 62433. First we will calculate the prime factors of 62415 and 62433.

Prime Factorization of 62415

Prime Factorization of 62433

Now multiplying the highest exponent prime factors to calculate the LCM of 62415 and 62433.

LCM(62415,62433) = 3² × 5¹ × 19¹ × 73¹ × 7¹ × 991¹
LCM(62415,62433) = 432972855