What is the Least Common Multiple of 98665 and 98678?

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 98665 and 98678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98665 and 98678, than apply into the LCM equation.

GCF(98665,98678) = 1
LCM(98665,98678) = ( 98665 × 98678) / 1
LCM(98665,98678) = 9736064870 / 1
LCM(98665,98678) = 9736064870

Least Common Multiple (LCM) of 98665 and 98678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98665 and 98678. First we will calculate the prime factors of 98665 and 98678.

Prime Factorization of 98665

Prime Factorization of 98678

Now multiplying the highest exponent prime factors to calculate the LCM of 98665 and 98678.

LCM(98665,98678) = 5¹ × 7¹ × 2819¹ × 2¹ × 49339¹
LCM(98665,98678) = 9736064870