What is the Least Common Multiple of 34739 and 34744?

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 34739 and 34744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34739 and 34744, than apply into the LCM equation.

GCF(34739,34744) = 1
LCM(34739,34744) = ( 34739 × 34744) / 1
LCM(34739,34744) = 1206971816 / 1
LCM(34739,34744) = 1206971816

Least Common Multiple (LCM) of 34739 and 34744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34739 and 34744. First we will calculate the prime factors of 34739 and 34744.

Prime Factorization of 34739

Prime Factorization of 34744

Now multiplying the highest exponent prime factors to calculate the LCM of 34739 and 34744.

LCM(34739,34744) = 34739¹ × 2³ × 43¹ × 101¹
LCM(34739,34744) = 1206971816