What is the Least Common Multiple of 98370 and 98389?

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 98370 and 98389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98370 and 98389, than apply into the LCM equation.

GCF(98370,98389) = 1
LCM(98370,98389) = ( 98370 × 98389) / 1
LCM(98370,98389) = 9678525930 / 1
LCM(98370,98389) = 9678525930

Least Common Multiple (LCM) of 98370 and 98389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98370 and 98389. First we will calculate the prime factors of 98370 and 98389.

Prime Factorization of 98370

Prime Factorization of 98389

Now multiplying the highest exponent prime factors to calculate the LCM of 98370 and 98389.

LCM(98370,98389) = 2¹ × 3² × 5¹ × 1093¹ × 98389¹
LCM(98370,98389) = 9678525930