What is the Least Common Multiple of 16040 and 16059?

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 16040 and 16059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16040 and 16059, than apply into the LCM equation.

GCF(16040,16059) = 1
LCM(16040,16059) = ( 16040 × 16059) / 1
LCM(16040,16059) = 257586360 / 1
LCM(16040,16059) = 257586360

Least Common Multiple (LCM) of 16040 and 16059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16040 and 16059. First we will calculate the prime factors of 16040 and 16059.

Prime Factorization of 16040

Prime Factorization of 16059

Now multiplying the highest exponent prime factors to calculate the LCM of 16040 and 16059.

LCM(16040,16059) = 2³ × 5¹ × 401¹ × 3¹ × 53¹ × 101¹
LCM(16040,16059) = 257586360