What is the Least Common Multiple of 46160 and 46175?

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 46160 and 46175 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46160 and 46175, than apply into the LCM equation.

GCF(46160,46175) = 5
LCM(46160,46175) = ( 46160 × 46175) / 5
LCM(46160,46175) = 2131438000 / 5
LCM(46160,46175) = 426287600

Least Common Multiple (LCM) of 46160 and 46175 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46160 and 46175. First we will calculate the prime factors of 46160 and 46175.

Prime Factorization of 46160

Prime Factorization of 46175

Now multiplying the highest exponent prime factors to calculate the LCM of 46160 and 46175.

LCM(46160,46175) = 2⁴ × 5² × 577¹ × 1847¹
LCM(46160,46175) = 426287600