What is the Least Common Multiple of 46148 and 46152?

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 46148 and 46152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46148 and 46152, than apply into the LCM equation.

GCF(46148,46152) = 4
LCM(46148,46152) = ( 46148 × 46152) / 4
LCM(46148,46152) = 2129822496 / 4
LCM(46148,46152) = 532455624

Least Common Multiple (LCM) of 46148 and 46152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46148 and 46152. First we will calculate the prime factors of 46148 and 46152.

Prime Factorization of 46148

Prime Factorization of 46152

Now multiplying the highest exponent prime factors to calculate the LCM of 46148 and 46152.

LCM(46148,46152) = 2³ × 83¹ × 139¹ × 3² × 641¹
LCM(46148,46152) = 532455624