What is the Least Common Multiple of 12946 and 12964?

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 12946 and 12964 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12946 and 12964, than apply into the LCM equation.

GCF(12946,12964) = 2
LCM(12946,12964) = ( 12946 × 12964) / 2
LCM(12946,12964) = 167831944 / 2
LCM(12946,12964) = 83915972

Least Common Multiple (LCM) of 12946 and 12964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12946 and 12964. First we will calculate the prime factors of 12946 and 12964.

Prime Factorization of 12946

Prime Factorization of 12964

Now multiplying the highest exponent prime factors to calculate the LCM of 12946 and 12964.

LCM(12946,12964) = 2² × 6473¹ × 7¹ × 463¹
LCM(12946,12964) = 83915972