What is the Least Common Multiple of 4032 and 4046?

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 4032 and 4046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4032 and 4046, than apply into the LCM equation.

GCF(4032,4046) = 14
LCM(4032,4046) = ( 4032 × 4046) / 14
LCM(4032,4046) = 16313472 / 14
LCM(4032,4046) = 1165248

Least Common Multiple (LCM) of 4032 and 4046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4032 and 4046. First we will calculate the prime factors of 4032 and 4046.

Prime Factorization of 4032

Prime Factorization of 4046

Now multiplying the highest exponent prime factors to calculate the LCM of 4032 and 4046.

LCM(4032,4046) = 2⁶ × 3² × 7¹ × 17²
LCM(4032,4046) = 1165248