What is the Least Common Multiple of 98590 and 98605?

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 98590 and 98605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98590 and 98605, than apply into the LCM equation.

GCF(98590,98605) = 5
LCM(98590,98605) = ( 98590 × 98605) / 5
LCM(98590,98605) = 9721466950 / 5
LCM(98590,98605) = 1944293390

Least Common Multiple (LCM) of 98590 and 98605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98590 and 98605. First we will calculate the prime factors of 98590 and 98605.

Prime Factorization of 98590

Prime Factorization of 98605

Now multiplying the highest exponent prime factors to calculate the LCM of 98590 and 98605.

LCM(98590,98605) = 2¹ × 5¹ × 9859¹ × 13¹ × 37¹ × 41¹
LCM(98590,98605) = 1944293390