What is the Least Common Multiple of 74259 and 74274?

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 74259 and 74274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74259 and 74274, than apply into the LCM equation.

GCF(74259,74274) = 3
LCM(74259,74274) = ( 74259 × 74274) / 3
LCM(74259,74274) = 5515512966 / 3
LCM(74259,74274) = 1838504322

Least Common Multiple (LCM) of 74259 and 74274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74259 and 74274. First we will calculate the prime factors of 74259 and 74274.

Prime Factorization of 74259

Prime Factorization of 74274

Now multiplying the highest exponent prime factors to calculate the LCM of 74259 and 74274.

LCM(74259,74274) = 3² × 37¹ × 223¹ × 2¹ × 12379¹
LCM(74259,74274) = 1838504322