What is the Least Common Multiple of 32500 and 32504?

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 32500 and 32504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32500 and 32504, than apply into the LCM equation.

GCF(32500,32504) = 4
LCM(32500,32504) = ( 32500 × 32504) / 4
LCM(32500,32504) = 1056380000 / 4
LCM(32500,32504) = 264095000

Least Common Multiple (LCM) of 32500 and 32504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32500 and 32504. First we will calculate the prime factors of 32500 and 32504.

Prime Factorization of 32500

Prime Factorization of 32504

Now multiplying the highest exponent prime factors to calculate the LCM of 32500 and 32504.

LCM(32500,32504) = 2³ × 5⁴ × 13¹ × 17¹ × 239¹
LCM(32500,32504) = 264095000