What is the Least Common Multiple of 46398 and 46406?

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 46406 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 46406, than apply into the LCM equation.

GCF(46398,46406) = 2
LCM(46398,46406) = ( 46398 × 46406) / 2
LCM(46398,46406) = 2153145588 / 2
LCM(46398,46406) = 1076572794

Least Common Multiple (LCM) of 46398 and 46406 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46398 and 46406. First we will calculate the prime factors of 46398 and 46406.

Prime Factorization of 46398

Prime Factorization of 46406

Now multiplying the highest exponent prime factors to calculate the LCM of 46398 and 46406.

LCM(46398,46406) = 2¹ × 3¹ × 11¹ × 19¹ × 37¹ × 23203¹
LCM(46398,46406) = 1076572794