What is the Least Common Multiple of 46398 and 46416?

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 46398 and 46416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46398 and 46416, than apply into the LCM equation.

GCF(46398,46416) = 6
LCM(46398,46416) = ( 46398 × 46416) / 6
LCM(46398,46416) = 2153609568 / 6
LCM(46398,46416) = 358934928

Least Common Multiple (LCM) of 46398 and 46416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46398 and 46416. First we will calculate the prime factors of 46398 and 46416.

Prime Factorization of 46398

Prime Factorization of 46416

Now multiplying the highest exponent prime factors to calculate the LCM of 46398 and 46416.

LCM(46398,46416) = 2⁴ × 3¹ × 11¹ × 19¹ × 37¹ × 967¹
LCM(46398,46416) = 358934928