What is the Least Common Multiple of 60396 and 60405?

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 60396 and 60405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60396 and 60405, than apply into the LCM equation.

GCF(60396,60405) = 3
LCM(60396,60405) = ( 60396 × 60405) / 3
LCM(60396,60405) = 3648220380 / 3
LCM(60396,60405) = 1216073460

Least Common Multiple (LCM) of 60396 and 60405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60396 and 60405. First we will calculate the prime factors of 60396 and 60405.

Prime Factorization of 60396

Prime Factorization of 60405

Now multiplying the highest exponent prime factors to calculate the LCM of 60396 and 60405.

LCM(60396,60405) = 2² × 3¹ × 7¹ × 719¹ × 5¹ × 4027¹
LCM(60396,60405) = 1216073460