What is the Least Common Multiple of 61146 and 61158?

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 61146 and 61158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61146 and 61158, than apply into the LCM equation.

GCF(61146,61158) = 6
LCM(61146,61158) = ( 61146 × 61158) / 6
LCM(61146,61158) = 3739567068 / 6
LCM(61146,61158) = 623261178

Least Common Multiple (LCM) of 61146 and 61158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61146 and 61158. First we will calculate the prime factors of 61146 and 61158.

Prime Factorization of 61146

Prime Factorization of 61158

Now multiplying the highest exponent prime factors to calculate the LCM of 61146 and 61158.

LCM(61146,61158) = 2¹ × 3² × 43¹ × 79¹ × 10193¹
LCM(61146,61158) = 623261178