What is the Least Common Multiple of 75293 and 75299?

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 75293 and 75299 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75293 and 75299, than apply into the LCM equation.

GCF(75293,75299) = 1
LCM(75293,75299) = ( 75293 × 75299) / 1
LCM(75293,75299) = 5669487607 / 1
LCM(75293,75299) = 5669487607

Least Common Multiple (LCM) of 75293 and 75299 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75293 and 75299. First we will calculate the prime factors of 75293 and 75299.

Prime Factorization of 75293

Prime Factorization of 75299

Now multiplying the highest exponent prime factors to calculate the LCM of 75293 and 75299.

LCM(75293,75299) = 17¹ × 43¹ × 103¹ × 7¹ × 31¹ × 347¹
LCM(75293,75299) = 5669487607