What is the Least Common Multiple of 83270 and 83286?

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 83270 and 83286 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83270 and 83286, than apply into the LCM equation.

GCF(83270,83286) = 2
LCM(83270,83286) = ( 83270 × 83286) / 2
LCM(83270,83286) = 6935225220 / 2
LCM(83270,83286) = 3467612610

Least Common Multiple (LCM) of 83270 and 83286 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83270 and 83286. First we will calculate the prime factors of 83270 and 83286.

Prime Factorization of 83270

Prime Factorization of 83286

Now multiplying the highest exponent prime factors to calculate the LCM of 83270 and 83286.

LCM(83270,83286) = 2¹ × 5¹ × 11¹ × 757¹ × 3² × 7¹ × 661¹
LCM(83270,83286) = 3467612610