What is the Least Common Multiple of 18944 and 18962?

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 18944 and 18962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18944 and 18962, than apply into the LCM equation.

GCF(18944,18962) = 2
LCM(18944,18962) = ( 18944 × 18962) / 2
LCM(18944,18962) = 359216128 / 2
LCM(18944,18962) = 179608064

Least Common Multiple (LCM) of 18944 and 18962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18944 and 18962. First we will calculate the prime factors of 18944 and 18962.

Prime Factorization of 18944

Prime Factorization of 18962

Now multiplying the highest exponent prime factors to calculate the LCM of 18944 and 18962.

LCM(18944,18962) = 2⁹ × 37¹ × 19¹ × 499¹
LCM(18944,18962) = 179608064