What is the Least Common Multiple of 6930 and 6944?

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 6930 and 6944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6930 and 6944, than apply into the LCM equation.

GCF(6930,6944) = 14
LCM(6930,6944) = ( 6930 × 6944) / 14
LCM(6930,6944) = 48121920 / 14
LCM(6930,6944) = 3437280

Least Common Multiple (LCM) of 6930 and 6944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6930 and 6944. First we will calculate the prime factors of 6930 and 6944.

Prime Factorization of 6930

Prime Factorization of 6944

Now multiplying the highest exponent prime factors to calculate the LCM of 6930 and 6944.

LCM(6930,6944) = 2⁵ × 3² × 5¹ × 7¹ × 11¹ × 31¹
LCM(6930,6944) = 3437280