What is the Least Common Multiple of 6978 and 6994?

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 6978 and 6994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6978 and 6994, than apply into the LCM equation.

GCF(6978,6994) = 2
LCM(6978,6994) = ( 6978 × 6994) / 2
LCM(6978,6994) = 48804132 / 2
LCM(6978,6994) = 24402066

Least Common Multiple (LCM) of 6978 and 6994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6978 and 6994. First we will calculate the prime factors of 6978 and 6994.

Prime Factorization of 6978

Prime Factorization of 6994

Now multiplying the highest exponent prime factors to calculate the LCM of 6978 and 6994.

LCM(6978,6994) = 2¹ × 3¹ × 1163¹ × 13¹ × 269¹
LCM(6978,6994) = 24402066