What is the Least Common Multiple of 46104 and 46119?

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 46104 and 46119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46104 and 46119, than apply into the LCM equation.

GCF(46104,46119) = 3
LCM(46104,46119) = ( 46104 × 46119) / 3
LCM(46104,46119) = 2126270376 / 3
LCM(46104,46119) = 708756792

Least Common Multiple (LCM) of 46104 and 46119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46104 and 46119. First we will calculate the prime factors of 46104 and 46119.

Prime Factorization of 46104

Prime Factorization of 46119

Now multiplying the highest exponent prime factors to calculate the LCM of 46104 and 46119.

LCM(46104,46119) = 2³ × 3¹ × 17¹ × 113¹ × 15373¹
LCM(46104,46119) = 708756792