What is the Least Common Multiple of 38294 and 38300?

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 38294 and 38300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38294 and 38300, than apply into the LCM equation.

GCF(38294,38300) = 2
LCM(38294,38300) = ( 38294 × 38300) / 2
LCM(38294,38300) = 1466660200 / 2
LCM(38294,38300) = 733330100

Least Common Multiple (LCM) of 38294 and 38300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38294 and 38300. First we will calculate the prime factors of 38294 and 38300.

Prime Factorization of 38294

Prime Factorization of 38300

Now multiplying the highest exponent prime factors to calculate the LCM of 38294 and 38300.

LCM(38294,38300) = 2² × 41¹ × 467¹ × 5² × 383¹
LCM(38294,38300) = 733330100