What is the Least Common Multiple of 60298 and 60317?

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 60298 and 60317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60298 and 60317, than apply into the LCM equation.

GCF(60298,60317) = 1
LCM(60298,60317) = ( 60298 × 60317) / 1
LCM(60298,60317) = 3636994466 / 1
LCM(60298,60317) = 3636994466

Least Common Multiple (LCM) of 60298 and 60317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60298 and 60317. First we will calculate the prime factors of 60298 and 60317.

Prime Factorization of 60298

Prime Factorization of 60317

Now multiplying the highest exponent prime factors to calculate the LCM of 60298 and 60317.

LCM(60298,60317) = 2¹ × 7¹ × 59¹ × 73¹ × 60317¹
LCM(60298,60317) = 3636994466