What is the Least Common Multiple of 69765 and 69774?

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 69765 and 69774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69765 and 69774, than apply into the LCM equation.

GCF(69765,69774) = 3
LCM(69765,69774) = ( 69765 × 69774) / 3
LCM(69765,69774) = 4867783110 / 3
LCM(69765,69774) = 1622594370

Least Common Multiple (LCM) of 69765 and 69774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69765 and 69774. First we will calculate the prime factors of 69765 and 69774.

Prime Factorization of 69765

Prime Factorization of 69774

Now multiplying the highest exponent prime factors to calculate the LCM of 69765 and 69774.

LCM(69765,69774) = 3¹ × 5¹ × 4651¹ × 2¹ × 29¹ × 401¹
LCM(69765,69774) = 1622594370