What is the Least Common Multiple of 25280 and 25300?

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 25280 and 25300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25280 and 25300, than apply into the LCM equation.

GCF(25280,25300) = 20
LCM(25280,25300) = ( 25280 × 25300) / 20
LCM(25280,25300) = 639584000 / 20
LCM(25280,25300) = 31979200

Least Common Multiple (LCM) of 25280 and 25300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25280 and 25300. First we will calculate the prime factors of 25280 and 25300.

Prime Factorization of 25280

Prime Factorization of 25300

Now multiplying the highest exponent prime factors to calculate the LCM of 25280 and 25300.

LCM(25280,25300) = 2⁶ × 5² × 79¹ × 11¹ × 23¹
LCM(25280,25300) = 31979200