What is the Least Common Multiple of 35345 and 35349?

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 35345 and 35349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35345 and 35349, than apply into the LCM equation.

GCF(35345,35349) = 1
LCM(35345,35349) = ( 35345 × 35349) / 1
LCM(35345,35349) = 1249410405 / 1
LCM(35345,35349) = 1249410405

Least Common Multiple (LCM) of 35345 and 35349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35345 and 35349. First we will calculate the prime factors of 35345 and 35349.

Prime Factorization of 35345

Prime Factorization of 35349

Now multiplying the highest exponent prime factors to calculate the LCM of 35345 and 35349.

LCM(35345,35349) = 5¹ × 7069¹ × 3¹ × 11783¹
LCM(35345,35349) = 1249410405