What is the Least Common Multiple of 74875 and 74884?

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 74875 and 74884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74875 and 74884, than apply into the LCM equation.

GCF(74875,74884) = 1
LCM(74875,74884) = ( 74875 × 74884) / 1
LCM(74875,74884) = 5606939500 / 1
LCM(74875,74884) = 5606939500

Least Common Multiple (LCM) of 74875 and 74884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74875 and 74884. First we will calculate the prime factors of 74875 and 74884.

Prime Factorization of 74875

Prime Factorization of 74884

Now multiplying the highest exponent prime factors to calculate the LCM of 74875 and 74884.

LCM(74875,74884) = 5³ × 599¹ × 2² × 97¹ × 193¹
LCM(74875,74884) = 5606939500