What is the Least Common Multiple of 46096 and 46116?

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 46096 and 46116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46096 and 46116, than apply into the LCM equation.

GCF(46096,46116) = 4
LCM(46096,46116) = ( 46096 × 46116) / 4
LCM(46096,46116) = 2125763136 / 4
LCM(46096,46116) = 531440784

Least Common Multiple (LCM) of 46096 and 46116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46096 and 46116. First we will calculate the prime factors of 46096 and 46116.

Prime Factorization of 46096

Prime Factorization of 46116

Now multiplying the highest exponent prime factors to calculate the LCM of 46096 and 46116.

LCM(46096,46116) = 2⁴ × 43¹ × 67¹ × 3³ × 7¹ × 61¹
LCM(46096,46116) = 531440784