What is the Least Common Multiple of 61575 and 61580?

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 61575 and 61580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61575 and 61580, than apply into the LCM equation.

GCF(61575,61580) = 5
LCM(61575,61580) = ( 61575 × 61580) / 5
LCM(61575,61580) = 3791788500 / 5
LCM(61575,61580) = 758357700

Least Common Multiple (LCM) of 61575 and 61580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61575 and 61580. First we will calculate the prime factors of 61575 and 61580.

Prime Factorization of 61575

Prime Factorization of 61580

Now multiplying the highest exponent prime factors to calculate the LCM of 61575 and 61580.

LCM(61575,61580) = 3¹ × 5² × 821¹ × 2² × 3079¹
LCM(61575,61580) = 758357700