What is the Least Common Multiple of 46032 and 46038?

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 46038 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 46038, than apply into the LCM equation.

GCF(46032,46038) = 6
LCM(46032,46038) = ( 46032 × 46038) / 6
LCM(46032,46038) = 2119221216 / 6
LCM(46032,46038) = 353203536

Least Common Multiple (LCM) of 46032 and 46038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46032 and 46038. First we will calculate the prime factors of 46032 and 46038.

Prime Factorization of 46032

Prime Factorization of 46038

Now multiplying the highest exponent prime factors to calculate the LCM of 46032 and 46038.

LCM(46032,46038) = 2⁴ × 3¹ × 7¹ × 137¹ × 7673¹
LCM(46032,46038) = 353203536