What is the Least Common Multiple of 69195 and 69204?

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 69195 and 69204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69195 and 69204, than apply into the LCM equation.

GCF(69195,69204) = 3
LCM(69195,69204) = ( 69195 × 69204) / 3
LCM(69195,69204) = 4788570780 / 3
LCM(69195,69204) = 1596190260

Least Common Multiple (LCM) of 69195 and 69204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69195 and 69204. First we will calculate the prime factors of 69195 and 69204.

Prime Factorization of 69195

Prime Factorization of 69204

Now multiplying the highest exponent prime factors to calculate the LCM of 69195 and 69204.

LCM(69195,69204) = 3¹ × 5¹ × 7¹ × 659¹ × 2² × 73¹ × 79¹
LCM(69195,69204) = 1596190260