What is the Least Common Multiple of 12978 and 12998?

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 12998 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 12998, than apply into the LCM equation.

GCF(12978,12998) = 2
LCM(12978,12998) = ( 12978 × 12998) / 2
LCM(12978,12998) = 168688044 / 2
LCM(12978,12998) = 84344022

Least Common Multiple (LCM) of 12978 and 12998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12978 and 12998. First we will calculate the prime factors of 12978 and 12998.

Prime Factorization of 12978

Prime Factorization of 12998

Now multiplying the highest exponent prime factors to calculate the LCM of 12978 and 12998.

LCM(12978,12998) = 2¹ × 3² × 7¹ × 103¹ × 67¹ × 97¹
LCM(12978,12998) = 84344022