What is the Least Common Multiple of 83666 and 83680?

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 83666 and 83680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83666 and 83680, than apply into the LCM equation.

GCF(83666,83680) = 2
LCM(83666,83680) = ( 83666 × 83680) / 2
LCM(83666,83680) = 7001170880 / 2
LCM(83666,83680) = 3500585440

Least Common Multiple (LCM) of 83666 and 83680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83666 and 83680. First we will calculate the prime factors of 83666 and 83680.

Prime Factorization of 83666

Prime Factorization of 83680

Now multiplying the highest exponent prime factors to calculate the LCM of 83666 and 83680.

LCM(83666,83680) = 2⁵ × 11¹ × 3803¹ × 5¹ × 523¹
LCM(83666,83680) = 3500585440