What is the Least Common Multiple of 69546 and 69564?

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 69546 and 69564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69546 and 69564, than apply into the LCM equation.

GCF(69546,69564) = 6
LCM(69546,69564) = ( 69546 × 69564) / 6
LCM(69546,69564) = 4837897944 / 6
LCM(69546,69564) = 806316324

Least Common Multiple (LCM) of 69546 and 69564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69546 and 69564. First we will calculate the prime factors of 69546 and 69564.

Prime Factorization of 69546

Prime Factorization of 69564

Now multiplying the highest exponent prime factors to calculate the LCM of 69546 and 69564.

LCM(69546,69564) = 2² × 3¹ × 67¹ × 173¹ × 11¹ × 17¹ × 31¹
LCM(69546,69564) = 806316324