What is the Least Common Multiple of 46176 and 46194?

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 46176 and 46194 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46176 and 46194, than apply into the LCM equation.

GCF(46176,46194) = 6
LCM(46176,46194) = ( 46176 × 46194) / 6
LCM(46176,46194) = 2133054144 / 6
LCM(46176,46194) = 355509024

Least Common Multiple (LCM) of 46176 and 46194 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46176 and 46194. First we will calculate the prime factors of 46176 and 46194.

Prime Factorization of 46176

Prime Factorization of 46194

Now multiplying the highest exponent prime factors to calculate the LCM of 46176 and 46194.

LCM(46176,46194) = 2⁵ × 3¹ × 13¹ × 37¹ × 7699¹
LCM(46176,46194) = 355509024