What is the Least Common Multiple of 83216 and 83236?

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 83216 and 83236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83216 and 83236, than apply into the LCM equation.

GCF(83216,83236) = 4
LCM(83216,83236) = ( 83216 × 83236) / 4
LCM(83216,83236) = 6926566976 / 4
LCM(83216,83236) = 1731641744

Least Common Multiple (LCM) of 83216 and 83236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83216 and 83236. First we will calculate the prime factors of 83216 and 83236.

Prime Factorization of 83216

Prime Factorization of 83236

Now multiplying the highest exponent prime factors to calculate the LCM of 83216 and 83236.

LCM(83216,83236) = 2⁴ × 7¹ × 743¹ × 20809¹
LCM(83216,83236) = 1731641744