What is the Least Common Multiple of 74431 and 74449?

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 74431 and 74449 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74431 and 74449, than apply into the LCM equation.

GCF(74431,74449) = 1
LCM(74431,74449) = ( 74431 × 74449) / 1
LCM(74431,74449) = 5541313519 / 1
LCM(74431,74449) = 5541313519

Least Common Multiple (LCM) of 74431 and 74449 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74431 and 74449. First we will calculate the prime factors of 74431 and 74449.

Prime Factorization of 74431

Prime Factorization of 74449

Now multiplying the highest exponent prime factors to calculate the LCM of 74431 and 74449.

LCM(74431,74449) = 7⁴ × 31¹ × 74449¹
LCM(74431,74449) = 5541313519