What is the Least Common Multiple of 24984 and 25004?

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 24984 and 25004 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24984 and 25004, than apply into the LCM equation.

GCF(24984,25004) = 4
LCM(24984,25004) = ( 24984 × 25004) / 4
LCM(24984,25004) = 624699936 / 4
LCM(24984,25004) = 156174984

Least Common Multiple (LCM) of 24984 and 25004 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24984 and 25004. First we will calculate the prime factors of 24984 and 25004.

Prime Factorization of 24984

Prime Factorization of 25004

Now multiplying the highest exponent prime factors to calculate the LCM of 24984 and 25004.

LCM(24984,25004) = 2³ × 3² × 347¹ × 7¹ × 19¹ × 47¹
LCM(24984,25004) = 156174984