What is the Least Common Multiple of 18924 and 18938?

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 18938 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 18938, than apply into the LCM equation.

GCF(18924,18938) = 2
LCM(18924,18938) = ( 18924 × 18938) / 2
LCM(18924,18938) = 358382712 / 2
LCM(18924,18938) = 179191356

Least Common Multiple (LCM) of 18924 and 18938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18924 and 18938. First we will calculate the prime factors of 18924 and 18938.

Prime Factorization of 18924

Prime Factorization of 18938

Now multiplying the highest exponent prime factors to calculate the LCM of 18924 and 18938.

LCM(18924,18938) = 2² × 3¹ × 19¹ × 83¹ × 17¹ × 557¹
LCM(18924,18938) = 179191356