What is the Least Common Multiple of 46148 and 46162?

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 46162 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 46162, than apply into the LCM equation.

GCF(46148,46162) = 2
LCM(46148,46162) = ( 46148 × 46162) / 2
LCM(46148,46162) = 2130283976 / 2
LCM(46148,46162) = 1065141988

Least Common Multiple (LCM) of 46148 and 46162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46148 and 46162. First we will calculate the prime factors of 46148 and 46162.

Prime Factorization of 46148

Prime Factorization of 46162

Now multiplying the highest exponent prime factors to calculate the LCM of 46148 and 46162.

LCM(46148,46162) = 2² × 83¹ × 139¹ × 23081¹
LCM(46148,46162) = 1065141988