What is the Least Common Multiple of 44422 and 44442?

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 44422 and 44442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44422 and 44442, than apply into the LCM equation.

GCF(44422,44442) = 2
LCM(44422,44442) = ( 44422 × 44442) / 2
LCM(44422,44442) = 1974202524 / 2
LCM(44422,44442) = 987101262

Least Common Multiple (LCM) of 44422 and 44442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44422 and 44442. First we will calculate the prime factors of 44422 and 44442.

Prime Factorization of 44422

Prime Factorization of 44442

Now multiplying the highest exponent prime factors to calculate the LCM of 44422 and 44442.

LCM(44422,44442) = 2¹ × 7¹ × 19¹ × 167¹ × 3³ × 823¹
LCM(44422,44442) = 987101262