What is the Least Common Multiple of 98680 and 98685?

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 98680 and 98685 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98680 and 98685, than apply into the LCM equation.

GCF(98680,98685) = 5
LCM(98680,98685) = ( 98680 × 98685) / 5
LCM(98680,98685) = 9738235800 / 5
LCM(98680,98685) = 1947647160

Least Common Multiple (LCM) of 98680 and 98685 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98680 and 98685. First we will calculate the prime factors of 98680 and 98685.

Prime Factorization of 98680

Prime Factorization of 98685

Now multiplying the highest exponent prime factors to calculate the LCM of 98680 and 98685.

LCM(98680,98685) = 2³ × 5¹ × 2467¹ × 3³ × 17¹ × 43¹
LCM(98680,98685) = 1947647160