What is the Least Common Multiple of 83170 and 83186?

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 83170 and 83186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83170 and 83186, than apply into the LCM equation.

GCF(83170,83186) = 2
LCM(83170,83186) = ( 83170 × 83186) / 2
LCM(83170,83186) = 6918579620 / 2
LCM(83170,83186) = 3459289810

Least Common Multiple (LCM) of 83170 and 83186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83170 and 83186. First we will calculate the prime factors of 83170 and 83186.

Prime Factorization of 83170

Prime Factorization of 83186

Now multiplying the highest exponent prime factors to calculate the LCM of 83170 and 83186.

LCM(83170,83186) = 2¹ × 5¹ × 8317¹ × 41593¹
LCM(83170,83186) = 3459289810