What is the Least Common Multiple of 25185 and 25199?

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 25185 and 25199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25185 and 25199, than apply into the LCM equation.

GCF(25185,25199) = 1
LCM(25185,25199) = ( 25185 × 25199) / 1
LCM(25185,25199) = 634636815 / 1
LCM(25185,25199) = 634636815

Least Common Multiple (LCM) of 25185 and 25199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25185 and 25199. First we will calculate the prime factors of 25185 and 25199.

Prime Factorization of 25185

Prime Factorization of 25199

Now multiplying the highest exponent prime factors to calculate the LCM of 25185 and 25199.

LCM(25185,25199) = 3¹ × 5¹ × 23¹ × 73¹ × 113¹ × 223¹
LCM(25185,25199) = 634636815