What is the Least Common Multiple of 46032 and 46048?

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 46032 and 46048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46032 and 46048, than apply into the LCM equation.

GCF(46032,46048) = 16
LCM(46032,46048) = ( 46032 × 46048) / 16
LCM(46032,46048) = 2119681536 / 16
LCM(46032,46048) = 132480096

Least Common Multiple (LCM) of 46032 and 46048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46032 and 46048. First we will calculate the prime factors of 46032 and 46048.

Prime Factorization of 46032

Prime Factorization of 46048

Now multiplying the highest exponent prime factors to calculate the LCM of 46032 and 46048.

LCM(46032,46048) = 2⁵ × 3¹ × 7¹ × 137¹ × 1439¹
LCM(46032,46048) = 132480096