What is the Least Common Multiple of 74793 and 74811?

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 74793 and 74811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74793 and 74811, than apply into the LCM equation.

GCF(74793,74811) = 3
LCM(74793,74811) = ( 74793 × 74811) / 3
LCM(74793,74811) = 5595339123 / 3
LCM(74793,74811) = 1865113041

Least Common Multiple (LCM) of 74793 and 74811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74793 and 74811. First we will calculate the prime factors of 74793 and 74811.

Prime Factorization of 74793

Prime Factorization of 74811

Now multiplying the highest exponent prime factors to calculate the LCM of 74793 and 74811.

LCM(74793,74811) = 3¹ × 107¹ × 233¹ × 11¹ × 2267¹
LCM(74793,74811) = 1865113041