What is the Least Common Multiple of 61605 and 61625?

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 61605 and 61625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61605 and 61625, than apply into the LCM equation.

GCF(61605,61625) = 5
LCM(61605,61625) = ( 61605 × 61625) / 5
LCM(61605,61625) = 3796408125 / 5
LCM(61605,61625) = 759281625

Least Common Multiple (LCM) of 61605 and 61625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61605 and 61625. First we will calculate the prime factors of 61605 and 61625.

Prime Factorization of 61605

Prime Factorization of 61625

Now multiplying the highest exponent prime factors to calculate the LCM of 61605 and 61625.

LCM(61605,61625) = 3² × 5³ × 37² × 17¹ × 29¹
LCM(61605,61625) = 759281625