What is the Least Common Multiple of 74257 and 74267?

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 74257 and 74267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74257 and 74267, than apply into the LCM equation.

GCF(74257,74267) = 1
LCM(74257,74267) = ( 74257 × 74267) / 1
LCM(74257,74267) = 5514844619 / 1
LCM(74257,74267) = 5514844619

Least Common Multiple (LCM) of 74257 and 74267 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74257 and 74267. First we will calculate the prime factors of 74257 and 74267.

Prime Factorization of 74257

Prime Factorization of 74267

Now multiplying the highest exponent prime factors to calculate the LCM of 74257 and 74267.

LCM(74257,74267) = 74257¹ × 23¹ × 3229¹
LCM(74257,74267) = 5514844619