What is the Least Common Multiple of 74283 and 74299?

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 74283 and 74299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74283 and 74299, than apply into the LCM equation.

GCF(74283,74299) = 1
LCM(74283,74299) = ( 74283 × 74299) / 1
LCM(74283,74299) = 5519152617 / 1
LCM(74283,74299) = 5519152617

Least Common Multiple (LCM) of 74283 and 74299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74283 and 74299. First we will calculate the prime factors of 74283 and 74299.

Prime Factorization of 74283

Prime Factorization of 74299

Now multiplying the highest exponent prime factors to calculate the LCM of 74283 and 74299.

LCM(74283,74299) = 3¹ × 11¹ × 2251¹ × 191¹ × 389¹
LCM(74283,74299) = 5519152617