GCF and LCM Calculator Logo
Home »
LCM Calculator

What is the Least Common Multiple of 46176 and 46189?

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 (LCM) of 46176 and 46189 is 164063328.

LCM(46176,46189) = 164063328

LCM Calculator and
and

Least Common Multiple of 46176 and 46189 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 46189, than apply into the LCM equation.

GCF(46176,46189) = 13
LCM(46176,46189) = ( 46176 × 46189) / 13
LCM(46176,46189) = 2132823264 / 13
LCM(46176,46189) = 164063328

Least Common Multiple (LCM) of 46176 and 46189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46176 and 46189. First we will calculate the prime factors of 46176 and 46189.

Prime Factorization of 46176

Prime factors of 46176 are 2, 3, 13, 37. Prime factorization of 46176 in exponential form is:

46176 = 25 × 31 × 131 × 371

Prime Factorization of 46189

Prime factors of 46189 are 11, 13, 17, 19. Prime factorization of 46189 in exponential form is:

46189 = 111 × 131 × 171 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 46176 and 46189.

LCM(46176,46189) = 25 × 31 × 131 × 371 × 111 × 171 × 191
LCM(46176,46189) = 164063328

Related Least Common Multiples of 46176

Related Least Common Multiples of 46189