What is the Least Common Multiple of 83590 and 83610?

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 83590 and 83610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83590 and 83610, than apply into the LCM equation.

GCF(83590,83610) = 10
LCM(83590,83610) = ( 83590 × 83610) / 10
LCM(83590,83610) = 6988959900 / 10
LCM(83590,83610) = 698895990

Least Common Multiple (LCM) of 83590 and 83610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83590 and 83610. First we will calculate the prime factors of 83590 and 83610.

Prime Factorization of 83590

Prime Factorization of 83610

Now multiplying the highest exponent prime factors to calculate the LCM of 83590 and 83610.

LCM(83590,83610) = 2¹ × 5¹ × 13¹ × 643¹ × 3² × 929¹
LCM(83590,83610) = 698895990