What is the Least Common Multiple of 46140 and 46151?

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 46151 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 46151, than apply into the LCM equation.

GCF(46140,46151) = 1
LCM(46140,46151) = ( 46140 × 46151) / 1
LCM(46140,46151) = 2129407140 / 1
LCM(46140,46151) = 2129407140

Least Common Multiple (LCM) of 46140 and 46151 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46140 and 46151. First we will calculate the prime factors of 46140 and 46151.

Prime Factorization of 46140

Prime Factorization of 46151

Now multiplying the highest exponent prime factors to calculate the LCM of 46140 and 46151.

LCM(46140,46151) = 2² × 3¹ × 5¹ × 769¹ × 7¹ × 19¹ × 347¹
LCM(46140,46151) = 2129407140