What is the Least Common Multiple of 98678 and 98687?

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 98678 and 98687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98678 and 98687, than apply into the LCM equation.

GCF(98678,98687) = 1
LCM(98678,98687) = ( 98678 × 98687) / 1
LCM(98678,98687) = 9738235786 / 1
LCM(98678,98687) = 9738235786

Least Common Multiple (LCM) of 98678 and 98687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98678 and 98687. First we will calculate the prime factors of 98678 and 98687.

Prime Factorization of 98678

Prime Factorization of 98687

Now multiplying the highest exponent prime factors to calculate the LCM of 98678 and 98687.

LCM(98678,98687) = 2¹ × 49339¹ × 29¹ × 41¹ × 83¹
LCM(98678,98687) = 9738235786