What is the Least Common Multiple of 41316 and 41335?

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 41316 and 41335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41316 and 41335, than apply into the LCM equation.

GCF(41316,41335) = 1
LCM(41316,41335) = ( 41316 × 41335) / 1
LCM(41316,41335) = 1707796860 / 1
LCM(41316,41335) = 1707796860

Least Common Multiple (LCM) of 41316 and 41335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41316 and 41335. First we will calculate the prime factors of 41316 and 41335.

Prime Factorization of 41316

Prime Factorization of 41335

Now multiplying the highest exponent prime factors to calculate the LCM of 41316 and 41335.

LCM(41316,41335) = 2² × 3¹ × 11¹ × 313¹ × 5¹ × 7¹ × 1181¹
LCM(41316,41335) = 1707796860