What is the Least Common Multiple of 46305 and 46319?

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 46319 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 46319, than apply into the LCM equation.

GCF(46305,46319) = 7
LCM(46305,46319) = ( 46305 × 46319) / 7
LCM(46305,46319) = 2144801295 / 7
LCM(46305,46319) = 306400185

Least Common Multiple (LCM) of 46305 and 46319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46305 and 46319. First we will calculate the prime factors of 46305 and 46319.

Prime Factorization of 46305

Prime Factorization of 46319

Now multiplying the highest exponent prime factors to calculate the LCM of 46305 and 46319.

LCM(46305,46319) = 3³ × 5¹ × 7³ × 13¹ × 509¹
LCM(46305,46319) = 306400185