What is the Least Common Multiple of 18825 and 18830?

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 18825 and 18830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18825 and 18830, than apply into the LCM equation.

GCF(18825,18830) = 5
LCM(18825,18830) = ( 18825 × 18830) / 5
LCM(18825,18830) = 354474750 / 5
LCM(18825,18830) = 70894950

Least Common Multiple (LCM) of 18825 and 18830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18825 and 18830. First we will calculate the prime factors of 18825 and 18830.

Prime Factorization of 18825

Prime Factorization of 18830

Now multiplying the highest exponent prime factors to calculate the LCM of 18825 and 18830.

LCM(18825,18830) = 3¹ × 5² × 251¹ × 2¹ × 7¹ × 269¹
LCM(18825,18830) = 70894950