What is the Least Common Multiple of 61395 and 61405?

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 61395 and 61405 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61395 and 61405, than apply into the LCM equation.

GCF(61395,61405) = 5
LCM(61395,61405) = ( 61395 × 61405) / 5
LCM(61395,61405) = 3769959975 / 5
LCM(61395,61405) = 753991995

Least Common Multiple (LCM) of 61395 and 61405 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61395 and 61405. First we will calculate the prime factors of 61395 and 61405.

Prime Factorization of 61395

Prime Factorization of 61405

Now multiplying the highest exponent prime factors to calculate the LCM of 61395 and 61405.

LCM(61395,61405) = 3¹ × 5¹ × 4093¹ × 12281¹
LCM(61395,61405) = 753991995