What is the Least Common Multiple of 46300 and 46307?

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 46307 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 46307, than apply into the LCM equation.

GCF(46300,46307) = 1
LCM(46300,46307) = ( 46300 × 46307) / 1
LCM(46300,46307) = 2144014100 / 1
LCM(46300,46307) = 2144014100

Least Common Multiple (LCM) of 46300 and 46307 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46300 and 46307. First we will calculate the prime factors of 46300 and 46307.

Prime Factorization of 46300

Prime Factorization of 46307

Now multiplying the highest exponent prime factors to calculate the LCM of 46300 and 46307.

LCM(46300,46307) = 2² × 5² × 463¹ × 46307¹
LCM(46300,46307) = 2144014100