What is the Least Common Multiple of 83691 and 83709?

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 83691 and 83709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83691 and 83709, than apply into the LCM equation.

GCF(83691,83709) = 9
LCM(83691,83709) = ( 83691 × 83709) / 9
LCM(83691,83709) = 7005689919 / 9
LCM(83691,83709) = 778409991

Least Common Multiple (LCM) of 83691 and 83709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83691 and 83709. First we will calculate the prime factors of 83691 and 83709.

Prime Factorization of 83691

Prime Factorization of 83709

Now multiplying the highest exponent prime factors to calculate the LCM of 83691 and 83709.

LCM(83691,83709) = 3² × 17¹ × 547¹ × 71¹ × 131¹
LCM(83691,83709) = 778409991