What is the Least Common Multiple of 44242 and 44254?

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 44242 and 44254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44242 and 44254, than apply into the LCM equation.

GCF(44242,44254) = 2
LCM(44242,44254) = ( 44242 × 44254) / 2
LCM(44242,44254) = 1957885468 / 2
LCM(44242,44254) = 978942734

Least Common Multiple (LCM) of 44242 and 44254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44242 and 44254. First we will calculate the prime factors of 44242 and 44254.

Prime Factorization of 44242

Prime Factorization of 44254

Now multiplying the highest exponent prime factors to calculate the LCM of 44242 and 44254.

LCM(44242,44254) = 2¹ × 11¹ × 2011¹ × 7¹ × 29¹ × 109¹
LCM(44242,44254) = 978942734