What is the Least Common Multiple of 12614 and 12632?

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 12614 and 12632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12614 and 12632, than apply into the LCM equation.

GCF(12614,12632) = 2
LCM(12614,12632) = ( 12614 × 12632) / 2
LCM(12614,12632) = 159340048 / 2
LCM(12614,12632) = 79670024

Least Common Multiple (LCM) of 12614 and 12632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12614 and 12632. First we will calculate the prime factors of 12614 and 12632.

Prime Factorization of 12614

Prime Factorization of 12632

Now multiplying the highest exponent prime factors to calculate the LCM of 12614 and 12632.

LCM(12614,12632) = 2³ × 7¹ × 17¹ × 53¹ × 1579¹
LCM(12614,12632) = 79670024