What is the Least Common Multiple of 12978 and 12990?

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 12978 and 12990 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12978 and 12990, than apply into the LCM equation.

GCF(12978,12990) = 6
LCM(12978,12990) = ( 12978 × 12990) / 6
LCM(12978,12990) = 168584220 / 6
LCM(12978,12990) = 28097370

Least Common Multiple (LCM) of 12978 and 12990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12978 and 12990. First we will calculate the prime factors of 12978 and 12990.

Prime Factorization of 12978

Prime Factorization of 12990

Now multiplying the highest exponent prime factors to calculate the LCM of 12978 and 12990.

LCM(12978,12990) = 2¹ × 3² × 7¹ × 103¹ × 5¹ × 433¹
LCM(12978,12990) = 28097370