What is the Least Common Multiple of 61140 and 61146?

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 61140 and 61146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61140 and 61146, than apply into the LCM equation.

GCF(61140,61146) = 6
LCM(61140,61146) = ( 61140 × 61146) / 6
LCM(61140,61146) = 3738466440 / 6
LCM(61140,61146) = 623077740

Least Common Multiple (LCM) of 61140 and 61146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61140 and 61146. First we will calculate the prime factors of 61140 and 61146.

Prime Factorization of 61140

Prime Factorization of 61146

Now multiplying the highest exponent prime factors to calculate the LCM of 61140 and 61146.

LCM(61140,61146) = 2² × 3² × 5¹ × 1019¹ × 43¹ × 79¹
LCM(61140,61146) = 623077740