What is the Least Common Multiple of 75173 and 75183?

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 75173 and 75183 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75173 and 75183, than apply into the LCM equation.

GCF(75173,75183) = 1
LCM(75173,75183) = ( 75173 × 75183) / 1
LCM(75173,75183) = 5651731659 / 1
LCM(75173,75183) = 5651731659

Least Common Multiple (LCM) of 75173 and 75183 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75173 and 75183. First we will calculate the prime factors of 75173 and 75183.

Prime Factorization of 75173

Prime Factorization of 75183

Now multiplying the highest exponent prime factors to calculate the LCM of 75173 and 75183.

LCM(75173,75183) = 7¹ × 10739¹ × 3¹ × 19¹ × 1319¹
LCM(75173,75183) = 5651731659