What is the Least Common Multiple of 24971 and 24989?

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 24971 and 24989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24971 and 24989, than apply into the LCM equation.

GCF(24971,24989) = 1
LCM(24971,24989) = ( 24971 × 24989) / 1
LCM(24971,24989) = 624000319 / 1
LCM(24971,24989) = 624000319

Least Common Multiple (LCM) of 24971 and 24989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24971 and 24989. First we will calculate the prime factors of 24971 and 24989.

Prime Factorization of 24971

Prime Factorization of 24989

Now multiplying the highest exponent prime factors to calculate the LCM of 24971 and 24989.

LCM(24971,24989) = 24971¹ × 24989¹
LCM(24971,24989) = 624000319