What is the Least Common Multiple of 46122 and 46131?

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 46122 and 46131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46122 and 46131, than apply into the LCM equation.

GCF(46122,46131) = 3
LCM(46122,46131) = ( 46122 × 46131) / 3
LCM(46122,46131) = 2127653982 / 3
LCM(46122,46131) = 709217994

Least Common Multiple (LCM) of 46122 and 46131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46122 and 46131. First we will calculate the prime factors of 46122 and 46131.

Prime Factorization of 46122

Prime Factorization of 46131

Now multiplying the highest exponent prime factors to calculate the LCM of 46122 and 46131.

LCM(46122,46131) = 2¹ × 3¹ × 7687¹ × 15377¹
LCM(46122,46131) = 709217994