What is the Least Common Multiple of 83680 and 83686?

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 83680 and 83686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83680 and 83686, than apply into the LCM equation.

GCF(83680,83686) = 2
LCM(83680,83686) = ( 83680 × 83686) / 2
LCM(83680,83686) = 7002844480 / 2
LCM(83680,83686) = 3501422240

Least Common Multiple (LCM) of 83680 and 83686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83680 and 83686. First we will calculate the prime factors of 83680 and 83686.

Prime Factorization of 83680

Prime Factorization of 83686

Now multiplying the highest exponent prime factors to calculate the LCM of 83680 and 83686.

LCM(83680,83686) = 2⁵ × 5¹ × 523¹ × 41843¹
LCM(83680,83686) = 3501422240