What is the Least Common Multiple of 4046 and 4059?

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 4046 and 4059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4046 and 4059, than apply into the LCM equation.

GCF(4046,4059) = 1
LCM(4046,4059) = ( 4046 × 4059) / 1
LCM(4046,4059) = 16422714 / 1
LCM(4046,4059) = 16422714

Least Common Multiple (LCM) of 4046 and 4059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4046 and 4059. First we will calculate the prime factors of 4046 and 4059.

Prime Factorization of 4046

Prime Factorization of 4059

Now multiplying the highest exponent prime factors to calculate the LCM of 4046 and 4059.

LCM(4046,4059) = 2¹ × 7¹ × 17² × 3² × 11¹ × 41¹
LCM(4046,4059) = 16422714