What is the Least Common Multiple of 46912 and 46932?

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 46912 and 46932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46912 and 46932, than apply into the LCM equation.

GCF(46912,46932) = 4
LCM(46912,46932) = ( 46912 × 46932) / 4
LCM(46912,46932) = 2201673984 / 4
LCM(46912,46932) = 550418496

Least Common Multiple (LCM) of 46912 and 46932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46912 and 46932. First we will calculate the prime factors of 46912 and 46932.

Prime Factorization of 46912

Prime Factorization of 46932

Now multiplying the highest exponent prime factors to calculate the LCM of 46912 and 46932.

LCM(46912,46932) = 2⁶ × 733¹ × 3¹ × 3911¹
LCM(46912,46932) = 550418496