What is the Least Common Multiple of 44336 and 44342?

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 44336 and 44342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44336 and 44342, than apply into the LCM equation.

GCF(44336,44342) = 2
LCM(44336,44342) = ( 44336 × 44342) / 2
LCM(44336,44342) = 1965946912 / 2
LCM(44336,44342) = 982973456

Least Common Multiple (LCM) of 44336 and 44342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44336 and 44342. First we will calculate the prime factors of 44336 and 44342.

Prime Factorization of 44336

Prime Factorization of 44342

Now multiplying the highest exponent prime factors to calculate the LCM of 44336 and 44342.

LCM(44336,44342) = 2⁴ × 17¹ × 163¹ × 22171¹
LCM(44336,44342) = 982973456