What is the Least Common Multiple of 35348 and 35353?

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 35348 and 35353 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35348 and 35353, than apply into the LCM equation.

GCF(35348,35353) = 1
LCM(35348,35353) = ( 35348 × 35353) / 1
LCM(35348,35353) = 1249657844 / 1
LCM(35348,35353) = 1249657844

Least Common Multiple (LCM) of 35348 and 35353 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35348 and 35353. First we will calculate the prime factors of 35348 and 35353.

Prime Factorization of 35348

Prime Factorization of 35353

Now multiplying the highest exponent prime factors to calculate the LCM of 35348 and 35353.

LCM(35348,35353) = 2² × 8837¹ × 35353¹
LCM(35348,35353) = 1249657844