What is the Least Common Multiple of 46176 and 46192?

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 46192 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 46192, than apply into the LCM equation.

GCF(46176,46192) = 16
LCM(46176,46192) = ( 46176 × 46192) / 16
LCM(46176,46192) = 2132961792 / 16
LCM(46176,46192) = 133310112

Least Common Multiple (LCM) of 46176 and 46192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46176 and 46192. First we will calculate the prime factors of 46176 and 46192.

Prime Factorization of 46176

Prime Factorization of 46192

Now multiplying the highest exponent prime factors to calculate the LCM of 46176 and 46192.

LCM(46176,46192) = 2⁵ × 3¹ × 13¹ × 37¹ × 2887¹
LCM(46176,46192) = 133310112