What is the Least Common Multiple of 6944 and 6949?

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 6949 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 6949, than apply into the LCM equation.

GCF(6944,6949) = 1
LCM(6944,6949) = ( 6944 × 6949) / 1
LCM(6944,6949) = 48253856 / 1
LCM(6944,6949) = 48253856

Least Common Multiple (LCM) of 6944 and 6949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6944 and 6949. First we will calculate the prime factors of 6944 and 6949.

Prime Factorization of 6944

Prime Factorization of 6949

Now multiplying the highest exponent prime factors to calculate the LCM of 6944 and 6949.

LCM(6944,6949) = 2⁵ × 7¹ × 31¹ × 6949¹
LCM(6944,6949) = 48253856