What is the Least Common Multiple of 76140 and 76146?

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 76140 and 76146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76140 and 76146, than apply into the LCM equation.

GCF(76140,76146) = 6
LCM(76140,76146) = ( 76140 × 76146) / 6
LCM(76140,76146) = 5797756440 / 6
LCM(76140,76146) = 966292740

Least Common Multiple (LCM) of 76140 and 76146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76140 and 76146. First we will calculate the prime factors of 76140 and 76146.

Prime Factorization of 76140

Prime Factorization of 76146

Now multiplying the highest exponent prime factors to calculate the LCM of 76140 and 76146.

LCM(76140,76146) = 2² × 3⁴ × 5¹ × 47¹ × 7³ × 37¹
LCM(76140,76146) = 966292740