What is the Least Common Multiple of 44714 and 44734?

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 44714 and 44734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44714 and 44734, than apply into the LCM equation.

GCF(44714,44734) = 2
LCM(44714,44734) = ( 44714 × 44734) / 2
LCM(44714,44734) = 2000236076 / 2
LCM(44714,44734) = 1000118038

Least Common Multiple (LCM) of 44714 and 44734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44714 and 44734. First we will calculate the prime factors of 44714 and 44734.

Prime Factorization of 44714

Prime Factorization of 44734

Now multiplying the highest exponent prime factors to calculate the LCM of 44714 and 44734.

LCM(44714,44734) = 2¹ × 79¹ × 283¹ × 22367¹
LCM(44714,44734) = 1000118038