What is the Least Common Multiple of 83696 and 83707?

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 83707 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 83707, than apply into the LCM equation.

GCF(83696,83707) = 1
LCM(83696,83707) = ( 83696 × 83707) / 1
LCM(83696,83707) = 7005941072 / 1
LCM(83696,83707) = 7005941072

Least Common Multiple (LCM) of 83696 and 83707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83696 and 83707. First we will calculate the prime factors of 83696 and 83707.

Prime Factorization of 83696

Prime Factorization of 83707

Now multiplying the highest exponent prime factors to calculate the LCM of 83696 and 83707.

LCM(83696,83707) = 2⁴ × 5231¹ × 13¹ × 47¹ × 137¹
LCM(83696,83707) = 7005941072