What is the Least Common Multiple of 46116 and 46122?

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 46116 and 46122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46116 and 46122, than apply into the LCM equation.

GCF(46116,46122) = 6
LCM(46116,46122) = ( 46116 × 46122) / 6
LCM(46116,46122) = 2126962152 / 6
LCM(46116,46122) = 354493692

Least Common Multiple (LCM) of 46116 and 46122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46116 and 46122. First we will calculate the prime factors of 46116 and 46122.

Prime Factorization of 46116

Prime Factorization of 46122

Now multiplying the highest exponent prime factors to calculate the LCM of 46116 and 46122.

LCM(46116,46122) = 2² × 3³ × 7¹ × 61¹ × 7687¹
LCM(46116,46122) = 354493692