What is the Least Common Multiple of 46160 and 46174?

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 46174 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 46174, than apply into the LCM equation.

GCF(46160,46174) = 2
LCM(46160,46174) = ( 46160 × 46174) / 2
LCM(46160,46174) = 2131391840 / 2
LCM(46160,46174) = 1065695920

Least Common Multiple (LCM) of 46160 and 46174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46160 and 46174. First we will calculate the prime factors of 46160 and 46174.

Prime Factorization of 46160

Prime Factorization of 46174

Now multiplying the highest exponent prime factors to calculate the LCM of 46160 and 46174.

LCM(46160,46174) = 2⁴ × 5¹ × 577¹ × 23087¹
LCM(46160,46174) = 1065695920