What is the Least Common Multiple of 7986 and 7994?

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 7986 and 7994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7986 and 7994, than apply into the LCM equation.

GCF(7986,7994) = 2
LCM(7986,7994) = ( 7986 × 7994) / 2
LCM(7986,7994) = 63840084 / 2
LCM(7986,7994) = 31920042

Least Common Multiple (LCM) of 7986 and 7994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7986 and 7994. First we will calculate the prime factors of 7986 and 7994.

Prime Factorization of 7986

Prime Factorization of 7994

Now multiplying the highest exponent prime factors to calculate the LCM of 7986 and 7994.

LCM(7986,7994) = 2¹ × 3¹ × 11³ × 7¹ × 571¹
LCM(7986,7994) = 31920042