What is the Least Common Multiple of 75259 and 75263?

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 75259 and 75263 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75259 and 75263, than apply into the LCM equation.

GCF(75259,75263) = 1
LCM(75259,75263) = ( 75259 × 75263) / 1
LCM(75259,75263) = 5664218117 / 1
LCM(75259,75263) = 5664218117

Least Common Multiple (LCM) of 75259 and 75263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75259 and 75263. First we will calculate the prime factors of 75259 and 75263.

Prime Factorization of 75259

Prime Factorization of 75263

Now multiplying the highest exponent prime factors to calculate the LCM of 75259 and 75263.

LCM(75259,75263) = 17¹ × 19¹ × 233¹ × 73¹ × 1031¹
LCM(75259,75263) = 5664218117