What is the Least Common Multiple of 38825 and 38830?

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 38825 and 38830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38825 and 38830, than apply into the LCM equation.

GCF(38825,38830) = 5
LCM(38825,38830) = ( 38825 × 38830) / 5
LCM(38825,38830) = 1507574750 / 5
LCM(38825,38830) = 301514950

Least Common Multiple (LCM) of 38825 and 38830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38825 and 38830. First we will calculate the prime factors of 38825 and 38830.

Prime Factorization of 38825

Prime Factorization of 38830

Now multiplying the highest exponent prime factors to calculate the LCM of 38825 and 38830.

LCM(38825,38830) = 5² × 1553¹ × 2¹ × 11¹ × 353¹
LCM(38825,38830) = 301514950