What is the Least Common Multiple of 83270 and 83280?

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 83280 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 83280, than apply into the LCM equation.

GCF(83270,83280) = 10
LCM(83270,83280) = ( 83270 × 83280) / 10
LCM(83270,83280) = 6934725600 / 10
LCM(83270,83280) = 693472560

Least Common Multiple (LCM) of 83270 and 83280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83270 and 83280. First we will calculate the prime factors of 83270 and 83280.

Prime Factorization of 83270

Prime Factorization of 83280

Now multiplying the highest exponent prime factors to calculate the LCM of 83270 and 83280.

LCM(83270,83280) = 2⁴ × 5¹ × 11¹ × 757¹ × 3¹ × 347¹
LCM(83270,83280) = 693472560