What is the Least Common Multiple of 12684 and 12700?

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 12684 and 12700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12684 and 12700, than apply into the LCM equation.

GCF(12684,12700) = 4
LCM(12684,12700) = ( 12684 × 12700) / 4
LCM(12684,12700) = 161086800 / 4
LCM(12684,12700) = 40271700

Least Common Multiple (LCM) of 12684 and 12700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12684 and 12700. First we will calculate the prime factors of 12684 and 12700.

Prime Factorization of 12684

Prime Factorization of 12700

Now multiplying the highest exponent prime factors to calculate the LCM of 12684 and 12700.

LCM(12684,12700) = 2² × 3¹ × 7¹ × 151¹ × 5² × 127¹
LCM(12684,12700) = 40271700