What is the Least Common Multiple of 61116 and 61131?

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 61116 and 61131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61116 and 61131, than apply into the LCM equation.

GCF(61116,61131) = 3
LCM(61116,61131) = ( 61116 × 61131) / 3
LCM(61116,61131) = 3736082196 / 3
LCM(61116,61131) = 1245360732

Least Common Multiple (LCM) of 61116 and 61131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61116 and 61131. First we will calculate the prime factors of 61116 and 61131.

Prime Factorization of 61116

Prime Factorization of 61131

Now multiplying the highest exponent prime factors to calculate the LCM of 61116 and 61131.

LCM(61116,61131) = 2² × 3¹ × 11¹ × 463¹ × 7¹ × 41¹ × 71¹
LCM(61116,61131) = 1245360732