What is the Least Common Multiple of 12978 and 12987?

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 12987 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 12987, than apply into the LCM equation.

GCF(12978,12987) = 9
LCM(12978,12987) = ( 12978 × 12987) / 9
LCM(12978,12987) = 168545286 / 9
LCM(12978,12987) = 18727254

Least Common Multiple (LCM) of 12978 and 12987 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12978 and 12987. First we will calculate the prime factors of 12978 and 12987.

Prime Factorization of 12978

Prime Factorization of 12987

Now multiplying the highest exponent prime factors to calculate the LCM of 12978 and 12987.

LCM(12978,12987) = 2¹ × 3³ × 7¹ × 103¹ × 13¹ × 37¹
LCM(12978,12987) = 18727254