What is the Least Common Multiple of 46140 and 46146?

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 46140 and 46146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46140 and 46146, than apply into the LCM equation.

GCF(46140,46146) = 6
LCM(46140,46146) = ( 46140 × 46146) / 6
LCM(46140,46146) = 2129176440 / 6
LCM(46140,46146) = 354862740

Least Common Multiple (LCM) of 46140 and 46146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46140 and 46146. First we will calculate the prime factors of 46140 and 46146.

Prime Factorization of 46140

Prime Factorization of 46146

Now multiplying the highest exponent prime factors to calculate the LCM of 46140 and 46146.

LCM(46140,46146) = 2² × 3¹ × 5¹ × 769¹ × 7691¹
LCM(46140,46146) = 354862740