What is the Least Common Multiple of 60385 and 60398?

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 60385 and 60398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60385 and 60398, than apply into the LCM equation.

GCF(60385,60398) = 13
LCM(60385,60398) = ( 60385 × 60398) / 13
LCM(60385,60398) = 3647133230 / 13
LCM(60385,60398) = 280548710

Least Common Multiple (LCM) of 60385 and 60398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60385 and 60398. First we will calculate the prime factors of 60385 and 60398.

Prime Factorization of 60385

Prime Factorization of 60398

Now multiplying the highest exponent prime factors to calculate the LCM of 60385 and 60398.

LCM(60385,60398) = 5¹ × 13¹ × 929¹ × 2¹ × 23¹ × 101¹
LCM(60385,60398) = 280548710