What is the Least Common Multiple of 74354 and 74368?

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 74354 and 74368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74354 and 74368, than apply into the LCM equation.

GCF(74354,74368) = 14
LCM(74354,74368) = ( 74354 × 74368) / 14
LCM(74354,74368) = 5529558272 / 14
LCM(74354,74368) = 394968448

Least Common Multiple (LCM) of 74354 and 74368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74354 and 74368. First we will calculate the prime factors of 74354 and 74368.

Prime Factorization of 74354

Prime Factorization of 74368

Now multiplying the highest exponent prime factors to calculate the LCM of 74354 and 74368.

LCM(74354,74368) = 2⁷ × 7¹ × 47¹ × 113¹ × 83¹
LCM(74354,74368) = 394968448