What is the Least Common Multiple of 98653 and 98665?

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 98653 and 98665 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98653 and 98665, than apply into the LCM equation.

GCF(98653,98665) = 1
LCM(98653,98665) = ( 98653 × 98665) / 1
LCM(98653,98665) = 9733598245 / 1
LCM(98653,98665) = 9733598245

Least Common Multiple (LCM) of 98653 and 98665 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98653 and 98665. First we will calculate the prime factors of 98653 and 98665.

Prime Factorization of 98653

Prime Factorization of 98665

Now multiplying the highest exponent prime factors to calculate the LCM of 98653 and 98665.

LCM(98653,98665) = 47¹ × 2099¹ × 5¹ × 7¹ × 2819¹
LCM(98653,98665) = 9733598245