What is the Least Common Multiple of 74884 and 74897?

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 74884 and 74897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74884 and 74897, than apply into the LCM equation.

GCF(74884,74897) = 1
LCM(74884,74897) = ( 74884 × 74897) / 1
LCM(74884,74897) = 5608586948 / 1
LCM(74884,74897) = 5608586948

Least Common Multiple (LCM) of 74884 and 74897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74884 and 74897. First we will calculate the prime factors of 74884 and 74897.

Prime Factorization of 74884

Prime Factorization of 74897

Now multiplying the highest exponent prime factors to calculate the LCM of 74884 and 74897.

LCM(74884,74897) = 2² × 97¹ × 193¹ × 74897¹
LCM(74884,74897) = 5608586948