What is the Least Common Multiple of 83680 and 83696?

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 83696 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 83696, than apply into the LCM equation.

GCF(83680,83696) = 16
LCM(83680,83696) = ( 83680 × 83696) / 16
LCM(83680,83696) = 7003681280 / 16
LCM(83680,83696) = 437730080

Least Common Multiple (LCM) of 83680 and 83696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83680 and 83696. First we will calculate the prime factors of 83680 and 83696.

Prime Factorization of 83680

Prime Factorization of 83696

Now multiplying the highest exponent prime factors to calculate the LCM of 83680 and 83696.

LCM(83680,83696) = 2⁵ × 5¹ × 523¹ × 5231¹
LCM(83680,83696) = 437730080