What is the Least Common Multiple of 75113 and 75131?

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 75113 and 75131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75113 and 75131, than apply into the LCM equation.

GCF(75113,75131) = 1
LCM(75113,75131) = ( 75113 × 75131) / 1
LCM(75113,75131) = 5643314803 / 1
LCM(75113,75131) = 5643314803

Least Common Multiple (LCM) of 75113 and 75131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75113 and 75131. First we will calculate the prime factors of 75113 and 75131.

Prime Factorization of 75113

Prime Factorization of 75131

Now multiplying the highest exponent prime factors to calculate the LCM of 75113 and 75131.

LCM(75113,75131) = 31¹ × 2423¹ × 7¹ × 10733¹
LCM(75113,75131) = 5643314803