What is the Least Common Multiple of 44238 and 44245?

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 44245 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 44245, than apply into the LCM equation.

GCF(44238,44245) = 1
LCM(44238,44245) = ( 44238 × 44245) / 1
LCM(44238,44245) = 1957310310 / 1
LCM(44238,44245) = 1957310310

Least Common Multiple (LCM) of 44238 and 44245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44238 and 44245. First we will calculate the prime factors of 44238 and 44245.

Prime Factorization of 44238

Prime Factorization of 44245

Now multiplying the highest exponent prime factors to calculate the LCM of 44238 and 44245.

LCM(44238,44245) = 2¹ × 3¹ × 73¹ × 101¹ × 5¹ × 8849¹
LCM(44238,44245) = 1957310310