What is the Least Common Multiple of 30944 and 30962?

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 30944 and 30962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30944 and 30962, than apply into the LCM equation.

GCF(30944,30962) = 2
LCM(30944,30962) = ( 30944 × 30962) / 2
LCM(30944,30962) = 958088128 / 2
LCM(30944,30962) = 479044064

Least Common Multiple (LCM) of 30944 and 30962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30944 and 30962. First we will calculate the prime factors of 30944 and 30962.

Prime Factorization of 30944

Prime Factorization of 30962

Now multiplying the highest exponent prime factors to calculate the LCM of 30944 and 30962.

LCM(30944,30962) = 2⁵ × 967¹ × 113¹ × 137¹
LCM(30944,30962) = 479044064