What is the Least Common Multiple of 46032 and 46040?

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 46040 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 46040, than apply into the LCM equation.

GCF(46032,46040) = 8
LCM(46032,46040) = ( 46032 × 46040) / 8
LCM(46032,46040) = 2119313280 / 8
LCM(46032,46040) = 264914160

Least Common Multiple (LCM) of 46032 and 46040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46032 and 46040. First we will calculate the prime factors of 46032 and 46040.

Prime Factorization of 46032

Prime Factorization of 46040

Now multiplying the highest exponent prime factors to calculate the LCM of 46032 and 46040.

LCM(46032,46040) = 2⁴ × 3¹ × 7¹ × 137¹ × 5¹ × 1151¹
LCM(46032,46040) = 264914160