What is the Least Common Multiple of 38730 and 38750?

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 38730 and 38750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38730 and 38750, than apply into the LCM equation.

GCF(38730,38750) = 10
LCM(38730,38750) = ( 38730 × 38750) / 10
LCM(38730,38750) = 1500787500 / 10
LCM(38730,38750) = 150078750

Least Common Multiple (LCM) of 38730 and 38750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38730 and 38750. First we will calculate the prime factors of 38730 and 38750.

Prime Factorization of 38730

Prime Factorization of 38750

Now multiplying the highest exponent prime factors to calculate the LCM of 38730 and 38750.

LCM(38730,38750) = 2¹ × 3¹ × 5⁴ × 1291¹ × 31¹
LCM(38730,38750) = 150078750