What is the Least Common Multiple of 38494 and 38500?

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 38494 and 38500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38494 and 38500, than apply into the LCM equation.

GCF(38494,38500) = 2
LCM(38494,38500) = ( 38494 × 38500) / 2
LCM(38494,38500) = 1482019000 / 2
LCM(38494,38500) = 741009500

Least Common Multiple (LCM) of 38494 and 38500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38494 and 38500. First we will calculate the prime factors of 38494 and 38500.

Prime Factorization of 38494

Prime Factorization of 38500

Now multiplying the highest exponent prime factors to calculate the LCM of 38494 and 38500.

LCM(38494,38500) = 2² × 19¹ × 1013¹ × 5³ × 7¹ × 11¹
LCM(38494,38500) = 741009500