What is the Least Common Multiple of 24980 and 25000?

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 24980 and 25000 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24980 and 25000, than apply into the LCM equation.

GCF(24980,25000) = 20
LCM(24980,25000) = ( 24980 × 25000) / 20
LCM(24980,25000) = 624500000 / 20
LCM(24980,25000) = 31225000

Least Common Multiple (LCM) of 24980 and 25000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24980 and 25000. First we will calculate the prime factors of 24980 and 25000.

Prime Factorization of 24980

Prime Factorization of 25000

Now multiplying the highest exponent prime factors to calculate the LCM of 24980 and 25000.

LCM(24980,25000) = 2³ × 5⁵ × 1249¹
LCM(24980,25000) = 31225000