What is the Least Common Multiple of 61185 and 61200?

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 61185 and 61200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61185 and 61200, than apply into the LCM equation.

GCF(61185,61200) = 15
LCM(61185,61200) = ( 61185 × 61200) / 15
LCM(61185,61200) = 3744522000 / 15
LCM(61185,61200) = 249634800

Least Common Multiple (LCM) of 61185 and 61200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61185 and 61200. First we will calculate the prime factors of 61185 and 61200.

Prime Factorization of 61185

Prime Factorization of 61200

Now multiplying the highest exponent prime factors to calculate the LCM of 61185 and 61200.

LCM(61185,61200) = 3² × 5² × 4079¹ × 2⁴ × 17¹
LCM(61185,61200) = 249634800