What is the Least Common Multiple of 61164 and 61170?

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 61164 and 61170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61164 and 61170, than apply into the LCM equation.

GCF(61164,61170) = 6
LCM(61164,61170) = ( 61164 × 61170) / 6
LCM(61164,61170) = 3741401880 / 6
LCM(61164,61170) = 623566980

Least Common Multiple (LCM) of 61164 and 61170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61164 and 61170. First we will calculate the prime factors of 61164 and 61170.

Prime Factorization of 61164

Prime Factorization of 61170

Now multiplying the highest exponent prime factors to calculate the LCM of 61164 and 61170.

LCM(61164,61170) = 2² × 3² × 1699¹ × 5¹ × 2039¹
LCM(61164,61170) = 623566980