What is the Least Common Multiple of 44249 and 44255?

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 44249 and 44255 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44249 and 44255, than apply into the LCM equation.

GCF(44249,44255) = 1
LCM(44249,44255) = ( 44249 × 44255) / 1
LCM(44249,44255) = 1958239495 / 1
LCM(44249,44255) = 1958239495

Least Common Multiple (LCM) of 44249 and 44255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44249 and 44255. First we will calculate the prime factors of 44249 and 44255.

Prime Factorization of 44249

Prime Factorization of 44255

Now multiplying the highest exponent prime factors to calculate the LCM of 44249 and 44255.

LCM(44249,44255) = 44249¹ × 5¹ × 53¹ × 167¹
LCM(44249,44255) = 1958239495