What is the Least Common Multiple of 46383 and 46395?

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 46383 and 46395 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46383 and 46395, than apply into the LCM equation.

GCF(46383,46395) = 3
LCM(46383,46395) = ( 46383 × 46395) / 3
LCM(46383,46395) = 2151939285 / 3
LCM(46383,46395) = 717313095

Least Common Multiple (LCM) of 46383 and 46395 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46383 and 46395. First we will calculate the prime factors of 46383 and 46395.

Prime Factorization of 46383

Prime Factorization of 46395

Now multiplying the highest exponent prime factors to calculate the LCM of 46383 and 46395.

LCM(46383,46395) = 3² × 15461¹ × 5¹ × 1031¹
LCM(46383,46395) = 717313095