What is the Least Common Multiple of 83020 and 83030?

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 83020 and 83030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83020 and 83030, than apply into the LCM equation.

GCF(83020,83030) = 10
LCM(83020,83030) = ( 83020 × 83030) / 10
LCM(83020,83030) = 6893150600 / 10
LCM(83020,83030) = 689315060

Least Common Multiple (LCM) of 83020 and 83030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83020 and 83030. First we will calculate the prime factors of 83020 and 83030.

Prime Factorization of 83020

Prime Factorization of 83030

Now multiplying the highest exponent prime factors to calculate the LCM of 83020 and 83030.

LCM(83020,83030) = 2² × 5¹ × 7¹ × 593¹ × 19² × 23¹
LCM(83020,83030) = 689315060