What is the Least Common Multiple of 46308 and 46314?

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 46308 and 46314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46308 and 46314, than apply into the LCM equation.

GCF(46308,46314) = 6
LCM(46308,46314) = ( 46308 × 46314) / 6
LCM(46308,46314) = 2144708712 / 6
LCM(46308,46314) = 357451452

Least Common Multiple (LCM) of 46308 and 46314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46308 and 46314. First we will calculate the prime factors of 46308 and 46314.

Prime Factorization of 46308

Prime Factorization of 46314

Now multiplying the highest exponent prime factors to calculate the LCM of 46308 and 46314.

LCM(46308,46314) = 2² × 3² × 17¹ × 227¹ × 31¹ × 83¹
LCM(46308,46314) = 357451452