What is the Least Common Multiple of 98085 and 98091?

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 98085 and 98091 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98085 and 98091, than apply into the LCM equation.

GCF(98085,98091) = 3
LCM(98085,98091) = ( 98085 × 98091) / 3
LCM(98085,98091) = 9621255735 / 3
LCM(98085,98091) = 3207085245

Least Common Multiple (LCM) of 98085 and 98091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98085 and 98091. First we will calculate the prime factors of 98085 and 98091.

Prime Factorization of 98085

Prime Factorization of 98091

Now multiplying the highest exponent prime factors to calculate the LCM of 98085 and 98091.

LCM(98085,98091) = 3⁴ × 5¹ × 13¹ × 503¹ × 7¹ × 173¹
LCM(98085,98091) = 3207085245