What is the Least Common Multiple of 46020 and 46032?

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 46020 and 46032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46020 and 46032, than apply into the LCM equation.

GCF(46020,46032) = 12
LCM(46020,46032) = ( 46020 × 46032) / 12
LCM(46020,46032) = 2118392640 / 12
LCM(46020,46032) = 176532720

Least Common Multiple (LCM) of 46020 and 46032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46020 and 46032. First we will calculate the prime factors of 46020 and 46032.

Prime Factorization of 46020

Prime Factorization of 46032

Now multiplying the highest exponent prime factors to calculate the LCM of 46020 and 46032.

LCM(46020,46032) = 2⁴ × 3¹ × 5¹ × 13¹ × 59¹ × 7¹ × 137¹
LCM(46020,46032) = 176532720