What is the Least Common Multiple of 6944 and 6962?

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 6944 and 6962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6944 and 6962, than apply into the LCM equation.

GCF(6944,6962) = 2
LCM(6944,6962) = ( 6944 × 6962) / 2
LCM(6944,6962) = 48344128 / 2
LCM(6944,6962) = 24172064

Least Common Multiple (LCM) of 6944 and 6962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6944 and 6962. First we will calculate the prime factors of 6944 and 6962.

Prime Factorization of 6944

Prime Factorization of 6962

Now multiplying the highest exponent prime factors to calculate the LCM of 6944 and 6962.

LCM(6944,6962) = 2⁵ × 7¹ × 31¹ × 59²
LCM(6944,6962) = 24172064