What is the Least Common Multiple of 69390 and 69409?

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 69390 and 69409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69390 and 69409, than apply into the LCM equation.

GCF(69390,69409) = 1
LCM(69390,69409) = ( 69390 × 69409) / 1
LCM(69390,69409) = 4816290510 / 1
LCM(69390,69409) = 4816290510

Least Common Multiple (LCM) of 69390 and 69409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69390 and 69409. First we will calculate the prime factors of 69390 and 69409.

Prime Factorization of 69390

Prime Factorization of 69409

Now multiplying the highest exponent prime factors to calculate the LCM of 69390 and 69409.

LCM(69390,69409) = 2¹ × 3³ × 5¹ × 257¹ × 31¹ × 2239¹
LCM(69390,69409) = 4816290510