What is the Least Common Multiple of 44238 and 44248?

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 44238 and 44248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44238 and 44248, than apply into the LCM equation.

GCF(44238,44248) = 2
LCM(44238,44248) = ( 44238 × 44248) / 2
LCM(44238,44248) = 1957443024 / 2
LCM(44238,44248) = 978721512

Least Common Multiple (LCM) of 44238 and 44248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44238 and 44248. First we will calculate the prime factors of 44238 and 44248.

Prime Factorization of 44238

Prime Factorization of 44248

Now multiplying the highest exponent prime factors to calculate the LCM of 44238 and 44248.

LCM(44238,44248) = 2³ × 3¹ × 73¹ × 101¹ × 5531¹
LCM(44238,44248) = 978721512