What is the Least Common Multiple of 35408 and 35419?

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 35408 and 35419 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35408 and 35419, than apply into the LCM equation.

GCF(35408,35419) = 1
LCM(35408,35419) = ( 35408 × 35419) / 1
LCM(35408,35419) = 1254115952 / 1
LCM(35408,35419) = 1254115952

Least Common Multiple (LCM) of 35408 and 35419 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35408 and 35419. First we will calculate the prime factors of 35408 and 35419.

Prime Factorization of 35408

Prime Factorization of 35419

Now multiplying the highest exponent prime factors to calculate the LCM of 35408 and 35419.

LCM(35408,35419) = 2⁴ × 2213¹ × 35419¹
LCM(35408,35419) = 1254115952