What is the Least Common Multiple of 61125 and 61135?

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 61125 and 61135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61125 and 61135, than apply into the LCM equation.

GCF(61125,61135) = 5
LCM(61125,61135) = ( 61125 × 61135) / 5
LCM(61125,61135) = 3736876875 / 5
LCM(61125,61135) = 747375375

Least Common Multiple (LCM) of 61125 and 61135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61125 and 61135. First we will calculate the prime factors of 61125 and 61135.

Prime Factorization of 61125

Prime Factorization of 61135

Now multiplying the highest exponent prime factors to calculate the LCM of 61125 and 61135.

LCM(61125,61135) = 3¹ × 5³ × 163¹ × 12227¹
LCM(61125,61135) = 747375375