What is the Least Common Multiple of 18944 and 18954?

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 18954 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 18954, than apply into the LCM equation.

GCF(18944,18954) = 2
LCM(18944,18954) = ( 18944 × 18954) / 2
LCM(18944,18954) = 359064576 / 2
LCM(18944,18954) = 179532288

Least Common Multiple (LCM) of 18944 and 18954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18944 and 18954. First we will calculate the prime factors of 18944 and 18954.

Prime Factorization of 18944

Prime Factorization of 18954

Now multiplying the highest exponent prime factors to calculate the LCM of 18944 and 18954.

LCM(18944,18954) = 2⁹ × 37¹ × 3⁶ × 13¹
LCM(18944,18954) = 179532288