What is the Least Common Multiple of 44238 and 44253?

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 44253 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 44253, than apply into the LCM equation.

GCF(44238,44253) = 3
LCM(44238,44253) = ( 44238 × 44253) / 3
LCM(44238,44253) = 1957664214 / 3
LCM(44238,44253) = 652554738

Least Common Multiple (LCM) of 44238 and 44253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44238 and 44253. First we will calculate the prime factors of 44238 and 44253.

Prime Factorization of 44238

Prime Factorization of 44253

Now multiplying the highest exponent prime factors to calculate the LCM of 44238 and 44253.

LCM(44238,44253) = 2¹ × 3³ × 73¹ × 101¹ × 11¹ × 149¹
LCM(44238,44253) = 652554738