What is the Least Common Multiple of 83686 and 83704?

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 83686 and 83704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83686 and 83704, than apply into the LCM equation.

GCF(83686,83704) = 2
LCM(83686,83704) = ( 83686 × 83704) / 2
LCM(83686,83704) = 7004852944 / 2
LCM(83686,83704) = 3502426472

Least Common Multiple (LCM) of 83686 and 83704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83686 and 83704. First we will calculate the prime factors of 83686 and 83704.

Prime Factorization of 83686

Prime Factorization of 83704

Now multiplying the highest exponent prime factors to calculate the LCM of 83686 and 83704.

LCM(83686,83704) = 2³ × 41843¹ × 10463¹
LCM(83686,83704) = 3502426472