What is the Least Common Multiple of 46206 and 46224?

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 46206 and 46224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46206 and 46224, than apply into the LCM equation.

GCF(46206,46224) = 18
LCM(46206,46224) = ( 46206 × 46224) / 18
LCM(46206,46224) = 2135826144 / 18
LCM(46206,46224) = 118657008

Least Common Multiple (LCM) of 46206 and 46224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46206 and 46224. First we will calculate the prime factors of 46206 and 46224.

Prime Factorization of 46206

Prime Factorization of 46224

Now multiplying the highest exponent prime factors to calculate the LCM of 46206 and 46224.

LCM(46206,46224) = 2⁴ × 3³ × 17¹ × 151¹ × 107¹
LCM(46206,46224) = 118657008