What is the Least Common Multiple of 98589 and 98603?

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 98589 and 98603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98589 and 98603, than apply into the LCM equation.

GCF(98589,98603) = 1
LCM(98589,98603) = ( 98589 × 98603) / 1
LCM(98589,98603) = 9721171167 / 1
LCM(98589,98603) = 9721171167

Least Common Multiple (LCM) of 98589 and 98603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98589 and 98603. First we will calculate the prime factors of 98589 and 98603.

Prime Factorization of 98589

Prime Factorization of 98603

Now multiplying the highest exponent prime factors to calculate the LCM of 98589 and 98603.

LCM(98589,98603) = 3¹ × 59¹ × 557¹ × 151¹ × 653¹
LCM(98589,98603) = 9721171167