What is the Least Common Multiple of 61170 and 61188?

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 61188 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 61188, than apply into the LCM equation.

GCF(61170,61188) = 6
LCM(61170,61188) = ( 61170 × 61188) / 6
LCM(61170,61188) = 3742869960 / 6
LCM(61170,61188) = 623811660

Least Common Multiple (LCM) of 61170 and 61188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61170 and 61188. First we will calculate the prime factors of 61170 and 61188.

Prime Factorization of 61170

Prime Factorization of 61188

Now multiplying the highest exponent prime factors to calculate the LCM of 61170 and 61188.

LCM(61170,61188) = 2² × 3¹ × 5¹ × 2039¹ × 5099¹
LCM(61170,61188) = 623811660