What is the Least Common Multiple of 46172 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 of 46172 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 46172 and 46189, than apply into the LCM equation.

GCF(46172,46189) = 17
LCM(46172,46189) = ( 46172 × 46189) / 17
LCM(46172,46189) = 2132638508 / 17
LCM(46172,46189) = 125449324

Least Common Multiple (LCM) of 46172 and 46189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46172 and 46189. First we will calculate the prime factors of 46172 and 46189.

Prime Factorization of 46172

Prime Factorization of 46189

Now multiplying the highest exponent prime factors to calculate the LCM of 46172 and 46189.

LCM(46172,46189) = 2² × 7¹ × 17¹ × 97¹ × 11¹ × 13¹ × 19¹
LCM(46172,46189) = 125449324