What is the Least Common Multiple of 46305 and 46312?

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 46305 and 46312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46305 and 46312, than apply into the LCM equation.

GCF(46305,46312) = 7
LCM(46305,46312) = ( 46305 × 46312) / 7
LCM(46305,46312) = 2144477160 / 7
LCM(46305,46312) = 306353880

Least Common Multiple (LCM) of 46305 and 46312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46305 and 46312. First we will calculate the prime factors of 46305 and 46312.

Prime Factorization of 46305

Prime Factorization of 46312

Now multiplying the highest exponent prime factors to calculate the LCM of 46305 and 46312.

LCM(46305,46312) = 3³ × 5¹ × 7³ × 2³ × 827¹
LCM(46305,46312) = 306353880