What is the Least Common Multiple of 83196 and 83206?

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 83196 and 83206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83196 and 83206, than apply into the LCM equation.

GCF(83196,83206) = 2
LCM(83196,83206) = ( 83196 × 83206) / 2
LCM(83196,83206) = 6922406376 / 2
LCM(83196,83206) = 3461203188

Least Common Multiple (LCM) of 83196 and 83206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83196 and 83206. First we will calculate the prime factors of 83196 and 83206.

Prime Factorization of 83196

Prime Factorization of 83206

Now multiplying the highest exponent prime factors to calculate the LCM of 83196 and 83206.

LCM(83196,83206) = 2² × 3² × 2311¹ × 41603¹
LCM(83196,83206) = 3461203188