What is the Least Common Multiple of 46179 and 46186?

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 46179 and 46186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46179 and 46186, than apply into the LCM equation.

GCF(46179,46186) = 7
LCM(46179,46186) = ( 46179 × 46186) / 7
LCM(46179,46186) = 2132823294 / 7
LCM(46179,46186) = 304689042

Least Common Multiple (LCM) of 46179 and 46186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46179 and 46186. First we will calculate the prime factors of 46179 and 46186.

Prime Factorization of 46179

Prime Factorization of 46186

Now multiplying the highest exponent prime factors to calculate the LCM of 46179 and 46186.

LCM(46179,46186) = 3² × 7¹ × 733¹ × 2¹ × 3299¹
LCM(46179,46186) = 304689042