What is the Least Common Multiple of 18940 and 18950?

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 18940 and 18950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18940 and 18950, than apply into the LCM equation.

GCF(18940,18950) = 10
LCM(18940,18950) = ( 18940 × 18950) / 10
LCM(18940,18950) = 358913000 / 10
LCM(18940,18950) = 35891300

Least Common Multiple (LCM) of 18940 and 18950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18940 and 18950. First we will calculate the prime factors of 18940 and 18950.

Prime Factorization of 18940

Prime Factorization of 18950

Now multiplying the highest exponent prime factors to calculate the LCM of 18940 and 18950.

LCM(18940,18950) = 2² × 5² × 947¹ × 379¹
LCM(18940,18950) = 35891300