What is the Least Common Multiple of 61170 and 61185?

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 61170 and 61185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61170 and 61185, than apply into the LCM equation.

GCF(61170,61185) = 15
LCM(61170,61185) = ( 61170 × 61185) / 15
LCM(61170,61185) = 3742686450 / 15
LCM(61170,61185) = 249512430

Least Common Multiple (LCM) of 61170 and 61185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61170 and 61185. First we will calculate the prime factors of 61170 and 61185.

Prime Factorization of 61170

Prime Factorization of 61185

Now multiplying the highest exponent prime factors to calculate the LCM of 61170 and 61185.

LCM(61170,61185) = 2¹ × 3¹ × 5¹ × 2039¹ × 4079¹
LCM(61170,61185) = 249512430