What is the Least Common Multiple of 46152 and 46166?

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 46152 and 46166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46152 and 46166, than apply into the LCM equation.

GCF(46152,46166) = 2
LCM(46152,46166) = ( 46152 × 46166) / 2
LCM(46152,46166) = 2130653232 / 2
LCM(46152,46166) = 1065326616

Least Common Multiple (LCM) of 46152 and 46166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46152 and 46166. First we will calculate the prime factors of 46152 and 46166.

Prime Factorization of 46152

Prime Factorization of 46166

Now multiplying the highest exponent prime factors to calculate the LCM of 46152 and 46166.

LCM(46152,46166) = 2³ × 3² × 641¹ × 41¹ × 563¹
LCM(46152,46166) = 1065326616