What is the Least Common Multiple of 69645 and 69654?

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 69645 and 69654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69645 and 69654, than apply into the LCM equation.

GCF(69645,69654) = 3
LCM(69645,69654) = ( 69645 × 69654) / 3
LCM(69645,69654) = 4851052830 / 3
LCM(69645,69654) = 1617017610

Least Common Multiple (LCM) of 69645 and 69654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69645 and 69654. First we will calculate the prime factors of 69645 and 69654.

Prime Factorization of 69645

Prime Factorization of 69654

Now multiplying the highest exponent prime factors to calculate the LCM of 69645 and 69654.

LCM(69645,69654) = 3¹ × 5¹ × 4643¹ × 2¹ × 13¹ × 19¹ × 47¹
LCM(69645,69654) = 1617017610