What is the Least Common Multiple of 18924 and 18944?

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 18924 and 18944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18924 and 18944, than apply into the LCM equation.

GCF(18924,18944) = 4
LCM(18924,18944) = ( 18924 × 18944) / 4
LCM(18924,18944) = 358496256 / 4
LCM(18924,18944) = 89624064

Least Common Multiple (LCM) of 18924 and 18944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18924 and 18944. First we will calculate the prime factors of 18924 and 18944.

Prime Factorization of 18924

Prime Factorization of 18944

Now multiplying the highest exponent prime factors to calculate the LCM of 18924 and 18944.

LCM(18924,18944) = 2⁹ × 3¹ × 19¹ × 83¹ × 37¹
LCM(18924,18944) = 89624064