What is the Least Common Multiple of 44224 and 44238?

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 44224 and 44238 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44224 and 44238, than apply into the LCM equation.

GCF(44224,44238) = 2
LCM(44224,44238) = ( 44224 × 44238) / 2
LCM(44224,44238) = 1956381312 / 2
LCM(44224,44238) = 978190656

Least Common Multiple (LCM) of 44224 and 44238 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44224 and 44238. First we will calculate the prime factors of 44224 and 44238.

Prime Factorization of 44224

Prime Factorization of 44238

Now multiplying the highest exponent prime factors to calculate the LCM of 44224 and 44238.

LCM(44224,44238) = 2⁶ × 691¹ × 3¹ × 73¹ × 101¹
LCM(44224,44238) = 978190656