What is the Least Common Multiple of 74336 and 74354?

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 74336 and 74354 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74336 and 74354, than apply into the LCM equation.

GCF(74336,74354) = 2
LCM(74336,74354) = ( 74336 × 74354) / 2
LCM(74336,74354) = 5527178944 / 2
LCM(74336,74354) = 2763589472

Least Common Multiple (LCM) of 74336 and 74354 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74336 and 74354. First we will calculate the prime factors of 74336 and 74354.

Prime Factorization of 74336

Prime Factorization of 74354

Now multiplying the highest exponent prime factors to calculate the LCM of 74336 and 74354.

LCM(74336,74354) = 2⁵ × 23¹ × 101¹ × 7¹ × 47¹ × 113¹
LCM(74336,74354) = 2763589472