What is the Least Common Multiple of 46300 and 46318?

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 46300 and 46318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46300 and 46318, than apply into the LCM equation.

GCF(46300,46318) = 2
LCM(46300,46318) = ( 46300 × 46318) / 2
LCM(46300,46318) = 2144523400 / 2
LCM(46300,46318) = 1072261700

Least Common Multiple (LCM) of 46300 and 46318 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46300 and 46318. First we will calculate the prime factors of 46300 and 46318.

Prime Factorization of 46300

Prime Factorization of 46318

Now multiplying the highest exponent prime factors to calculate the LCM of 46300 and 46318.

LCM(46300,46318) = 2² × 5² × 463¹ × 23159¹
LCM(46300,46318) = 1072261700