What is the Least Common Multiple of 44709 and 44714?

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 44709 and 44714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44709 and 44714, than apply into the LCM equation.

GCF(44709,44714) = 1
LCM(44709,44714) = ( 44709 × 44714) / 1
LCM(44709,44714) = 1999118226 / 1
LCM(44709,44714) = 1999118226

Least Common Multiple (LCM) of 44709 and 44714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44709 and 44714. First we will calculate the prime factors of 44709 and 44714.

Prime Factorization of 44709

Prime Factorization of 44714

Now multiplying the highest exponent prime factors to calculate the LCM of 44709 and 44714.

LCM(44709,44714) = 3¹ × 7¹ × 2129¹ × 2¹ × 79¹ × 283¹
LCM(44709,44714) = 1999118226