What is the Least Common Multiple of 46944 and 46956?

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 46944 and 46956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46944 and 46956, than apply into the LCM equation.

GCF(46944,46956) = 12
LCM(46944,46956) = ( 46944 × 46956) / 12
LCM(46944,46956) = 2204302464 / 12
LCM(46944,46956) = 183691872

Least Common Multiple (LCM) of 46944 and 46956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46944 and 46956. First we will calculate the prime factors of 46944 and 46956.

Prime Factorization of 46944

Prime Factorization of 46956

Now multiplying the highest exponent prime factors to calculate the LCM of 46944 and 46956.

LCM(46944,46956) = 2⁵ × 3² × 163¹ × 7¹ × 13¹ × 43¹
LCM(46944,46956) = 183691872