What is the Least Common Multiple of 69309 and 69315?

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 69309 and 69315 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69309 and 69315, than apply into the LCM equation.

GCF(69309,69315) = 3
LCM(69309,69315) = ( 69309 × 69315) / 3
LCM(69309,69315) = 4804153335 / 3
LCM(69309,69315) = 1601384445

Least Common Multiple (LCM) of 69309 and 69315 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69309 and 69315. First we will calculate the prime factors of 69309 and 69315.

Prime Factorization of 69309

Prime Factorization of 69315

Now multiplying the highest exponent prime factors to calculate the LCM of 69309 and 69315.

LCM(69309,69315) = 3³ × 17¹ × 151¹ × 5¹ × 4621¹
LCM(69309,69315) = 1601384445