What is the Least Common Multiple of 6948 and 6968?

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 6948 and 6968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6948 and 6968, than apply into the LCM equation.

GCF(6948,6968) = 4
LCM(6948,6968) = ( 6948 × 6968) / 4
LCM(6948,6968) = 48413664 / 4
LCM(6948,6968) = 12103416

Least Common Multiple (LCM) of 6948 and 6968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6948 and 6968. First we will calculate the prime factors of 6948 and 6968.

Prime Factorization of 6948

Prime Factorization of 6968

Now multiplying the highest exponent prime factors to calculate the LCM of 6948 and 6968.

LCM(6948,6968) = 2³ × 3² × 193¹ × 13¹ × 67¹
LCM(6948,6968) = 12103416