What is the Least Common Multiple of 6720 and 6738?

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 6720 and 6738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6720 and 6738, than apply into the LCM equation.

GCF(6720,6738) = 6
LCM(6720,6738) = ( 6720 × 6738) / 6
LCM(6720,6738) = 45279360 / 6
LCM(6720,6738) = 7546560

Least Common Multiple (LCM) of 6720 and 6738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6720 and 6738. First we will calculate the prime factors of 6720 and 6738.

Prime Factorization of 6720

Prime Factorization of 6738

Now multiplying the highest exponent prime factors to calculate the LCM of 6720 and 6738.

LCM(6720,6738) = 2⁶ × 3¹ × 5¹ × 7¹ × 1123¹
LCM(6720,6738) = 7546560