What is the Least Common Multiple of 46146 and 46156?

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 46146 and 46156 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46146 and 46156, than apply into the LCM equation.

GCF(46146,46156) = 2
LCM(46146,46156) = ( 46146 × 46156) / 2
LCM(46146,46156) = 2129914776 / 2
LCM(46146,46156) = 1064957388

Least Common Multiple (LCM) of 46146 and 46156 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46146 and 46156. First we will calculate the prime factors of 46146 and 46156.

Prime Factorization of 46146

Prime Factorization of 46156

Now multiplying the highest exponent prime factors to calculate the LCM of 46146 and 46156.

LCM(46146,46156) = 2² × 3¹ × 7691¹ × 11¹ × 1049¹
LCM(46146,46156) = 1064957388