What is the Least Common Multiple of 46032 and 46045?

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 46045 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 46045, than apply into the LCM equation.

GCF(46032,46045) = 1
LCM(46032,46045) = ( 46032 × 46045) / 1
LCM(46032,46045) = 2119543440 / 1
LCM(46032,46045) = 2119543440

Least Common Multiple (LCM) of 46032 and 46045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46032 and 46045. First we will calculate the prime factors of 46032 and 46045.

Prime Factorization of 46032

Prime Factorization of 46045

Now multiplying the highest exponent prime factors to calculate the LCM of 46032 and 46045.

LCM(46032,46045) = 2⁴ × 3¹ × 7¹ × 137¹ × 5¹ × 9209¹
LCM(46032,46045) = 2119543440