What is the Least Common Multiple of 74805 and 74817?

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 74805 and 74817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74805 and 74817, than apply into the LCM equation.

GCF(74805,74817) = 3
LCM(74805,74817) = ( 74805 × 74817) / 3
LCM(74805,74817) = 5596685685 / 3
LCM(74805,74817) = 1865561895

Least Common Multiple (LCM) of 74805 and 74817 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74805 and 74817. First we will calculate the prime factors of 74805 and 74817.

Prime Factorization of 74805

Prime Factorization of 74817

Now multiplying the highest exponent prime factors to calculate the LCM of 74805 and 74817.

LCM(74805,74817) = 3³ × 5¹ × 4987¹ × 17¹ × 163¹
LCM(74805,74817) = 1865561895