What is the Least Common Multiple of 60405 and 60412?

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 60405 and 60412 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60405 and 60412, than apply into the LCM equation.

GCF(60405,60412) = 1
LCM(60405,60412) = ( 60405 × 60412) / 1
LCM(60405,60412) = 3649186860 / 1
LCM(60405,60412) = 3649186860

Least Common Multiple (LCM) of 60405 and 60412 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60405 and 60412. First we will calculate the prime factors of 60405 and 60412.

Prime Factorization of 60405

Prime Factorization of 60412

Now multiplying the highest exponent prime factors to calculate the LCM of 60405 and 60412.

LCM(60405,60412) = 3¹ × 5¹ × 4027¹ × 2² × 11¹ × 1373¹
LCM(60405,60412) = 3649186860