What is the Least Common Multiple of 65400 and 65409?

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 65400 and 65409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65400 and 65409, than apply into the LCM equation.

GCF(65400,65409) = 3
LCM(65400,65409) = ( 65400 × 65409) / 3
LCM(65400,65409) = 4277748600 / 3
LCM(65400,65409) = 1425916200

Least Common Multiple (LCM) of 65400 and 65409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65400 and 65409. First we will calculate the prime factors of 65400 and 65409.

Prime Factorization of 65400

Prime Factorization of 65409

Now multiplying the highest exponent prime factors to calculate the LCM of 65400 and 65409.

LCM(65400,65409) = 2³ × 3¹ × 5² × 109¹ × 21803¹
LCM(65400,65409) = 1425916200