What is the Least Common Multiple of 46312 and 46321?

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 46312 and 46321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46312 and 46321, than apply into the LCM equation.

GCF(46312,46321) = 1
LCM(46312,46321) = ( 46312 × 46321) / 1
LCM(46312,46321) = 2145218152 / 1
LCM(46312,46321) = 2145218152

Least Common Multiple (LCM) of 46312 and 46321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46312 and 46321. First we will calculate the prime factors of 46312 and 46321.

Prime Factorization of 46312

Prime Factorization of 46321

Now multiplying the highest exponent prime factors to calculate the LCM of 46312 and 46321.

LCM(46312,46321) = 2³ × 7¹ × 827¹ × 11¹ × 4211¹
LCM(46312,46321) = 2145218152