What is the Least Common Multiple of 12374 and 12378?

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 12374 and 12378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12374 and 12378, than apply into the LCM equation.

GCF(12374,12378) = 2
LCM(12374,12378) = ( 12374 × 12378) / 2
LCM(12374,12378) = 153165372 / 2
LCM(12374,12378) = 76582686

Least Common Multiple (LCM) of 12374 and 12378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12374 and 12378. First we will calculate the prime factors of 12374 and 12378.

Prime Factorization of 12374

Prime Factorization of 12378

Now multiplying the highest exponent prime factors to calculate the LCM of 12374 and 12378.

LCM(12374,12378) = 2¹ × 23¹ × 269¹ × 3¹ × 2063¹
LCM(12374,12378) = 76582686