What is the Least Common Multiple of 34719 and 34738?

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 34719 and 34738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34719 and 34738, than apply into the LCM equation.

GCF(34719,34738) = 1
LCM(34719,34738) = ( 34719 × 34738) / 1
LCM(34719,34738) = 1206068622 / 1
LCM(34719,34738) = 1206068622

Least Common Multiple (LCM) of 34719 and 34738 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34719 and 34738. First we will calculate the prime factors of 34719 and 34738.

Prime Factorization of 34719

Prime Factorization of 34738

Now multiplying the highest exponent prime factors to calculate the LCM of 34719 and 34738.

LCM(34719,34738) = 3¹ × 71¹ × 163¹ × 2¹ × 11¹ × 1579¹
LCM(34719,34738) = 1206068622