What is the Least Common Multiple of 83696 and 83708?

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 83696 and 83708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83696 and 83708, than apply into the LCM equation.

GCF(83696,83708) = 4
LCM(83696,83708) = ( 83696 × 83708) / 4
LCM(83696,83708) = 7006024768 / 4
LCM(83696,83708) = 1751506192

Least Common Multiple (LCM) of 83696 and 83708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83696 and 83708. First we will calculate the prime factors of 83696 and 83708.

Prime Factorization of 83696

Prime Factorization of 83708

Now multiplying the highest exponent prime factors to calculate the LCM of 83696 and 83708.

LCM(83696,83708) = 2⁴ × 5231¹ × 17¹ × 1231¹
LCM(83696,83708) = 1751506192