What is the Least Common Multiple of 98678 and 98686?

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 98686 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 98686, than apply into the LCM equation.

GCF(98678,98686) = 2
LCM(98678,98686) = ( 98678 × 98686) / 2
LCM(98678,98686) = 9738137108 / 2
LCM(98678,98686) = 4869068554

Least Common Multiple (LCM) of 98678 and 98686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98678 and 98686. First we will calculate the prime factors of 98678 and 98686.

Prime Factorization of 98678

Prime Factorization of 98686

Now multiplying the highest exponent prime factors to calculate the LCM of 98678 and 98686.

LCM(98678,98686) = 2¹ × 49339¹ × 7² × 19¹ × 53¹
LCM(98678,98686) = 4869068554