What is the Least Common Multiple of 46140 and 46154?

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 46154 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 46154, than apply into the LCM equation.

GCF(46140,46154) = 2
LCM(46140,46154) = ( 46140 × 46154) / 2
LCM(46140,46154) = 2129545560 / 2
LCM(46140,46154) = 1064772780

Least Common Multiple (LCM) of 46140 and 46154 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46140 and 46154. First we will calculate the prime factors of 46140 and 46154.

Prime Factorization of 46140

Prime Factorization of 46154

Now multiplying the highest exponent prime factors to calculate the LCM of 46140 and 46154.

LCM(46140,46154) = 2² × 3¹ × 5¹ × 769¹ × 47¹ × 491¹
LCM(46140,46154) = 1064772780