What is the Least Common Multiple of 74368 and 74381?

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 74368 and 74381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74368 and 74381, than apply into the LCM equation.

GCF(74368,74381) = 1
LCM(74368,74381) = ( 74368 × 74381) / 1
LCM(74368,74381) = 5531566208 / 1
LCM(74368,74381) = 5531566208

Least Common Multiple (LCM) of 74368 and 74381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74368 and 74381. First we will calculate the prime factors of 74368 and 74381.

Prime Factorization of 74368

Prime Factorization of 74381

Now multiplying the highest exponent prime factors to calculate the LCM of 74368 and 74381.

LCM(74368,74381) = 2⁷ × 7¹ × 83¹ × 74381¹
LCM(74368,74381) = 5531566208