What is the Least Common Multiple of 46152 and 46168?

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 46168 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 46168, than apply into the LCM equation.

GCF(46152,46168) = 8
LCM(46152,46168) = ( 46152 × 46168) / 8
LCM(46152,46168) = 2130745536 / 8
LCM(46152,46168) = 266343192

Least Common Multiple (LCM) of 46152 and 46168 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46152 and 46168. First we will calculate the prime factors of 46152 and 46168.

Prime Factorization of 46152

Prime Factorization of 46168

Now multiplying the highest exponent prime factors to calculate the LCM of 46152 and 46168.

LCM(46152,46168) = 2³ × 3² × 641¹ × 29¹ × 199¹
LCM(46152,46168) = 266343192