What is the Least Common Multiple of 46329 and 46335?

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 46329 and 46335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46329 and 46335, than apply into the LCM equation.

GCF(46329,46335) = 3
LCM(46329,46335) = ( 46329 × 46335) / 3
LCM(46329,46335) = 2146654215 / 3
LCM(46329,46335) = 715551405

Least Common Multiple (LCM) of 46329 and 46335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46329 and 46335. First we will calculate the prime factors of 46329 and 46335.

Prime Factorization of 46329

Prime Factorization of 46335

Now multiplying the highest exponent prime factors to calculate the LCM of 46329 and 46335.

LCM(46329,46335) = 3¹ × 15443¹ × 5¹ × 3089¹
LCM(46329,46335) = 715551405