What is the Least Common Multiple of 38944 and 38962?

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 38944 and 38962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38944 and 38962, than apply into the LCM equation.

GCF(38944,38962) = 2
LCM(38944,38962) = ( 38944 × 38962) / 2
LCM(38944,38962) = 1517336128 / 2
LCM(38944,38962) = 758668064

Least Common Multiple (LCM) of 38944 and 38962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38944 and 38962. First we will calculate the prime factors of 38944 and 38962.

Prime Factorization of 38944

Prime Factorization of 38962

Now multiplying the highest exponent prime factors to calculate the LCM of 38944 and 38962.

LCM(38944,38962) = 2⁵ × 1217¹ × 7¹ × 11² × 23¹
LCM(38944,38962) = 758668064