What is the Least Common Multiple of 83504 and 83510?

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 83504 and 83510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83504 and 83510, than apply into the LCM equation.

GCF(83504,83510) = 2
LCM(83504,83510) = ( 83504 × 83510) / 2
LCM(83504,83510) = 6973419040 / 2
LCM(83504,83510) = 3486709520

Least Common Multiple (LCM) of 83504 and 83510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83504 and 83510. First we will calculate the prime factors of 83504 and 83510.

Prime Factorization of 83504

Prime Factorization of 83510

Now multiplying the highest exponent prime factors to calculate the LCM of 83504 and 83510.

LCM(83504,83510) = 2⁴ × 17¹ × 307¹ × 5¹ × 7¹ × 1193¹
LCM(83504,83510) = 3486709520