What is the Least Common Multiple of 6984 and 7002?

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 6984 and 7002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6984 and 7002, than apply into the LCM equation.

GCF(6984,7002) = 18
LCM(6984,7002) = ( 6984 × 7002) / 18
LCM(6984,7002) = 48901968 / 18
LCM(6984,7002) = 2716776

Least Common Multiple (LCM) of 6984 and 7002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6984 and 7002. First we will calculate the prime factors of 6984 and 7002.

Prime Factorization of 6984

Prime Factorization of 7002

Now multiplying the highest exponent prime factors to calculate the LCM of 6984 and 7002.

LCM(6984,7002) = 2³ × 3² × 97¹ × 389¹
LCM(6984,7002) = 2716776