What is the Least Common Multiple of 16040 and 16053?

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 16053 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 16053, than apply into the LCM equation.

GCF(16040,16053) = 1
LCM(16040,16053) = ( 16040 × 16053) / 1
LCM(16040,16053) = 257490120 / 1
LCM(16040,16053) = 257490120

Least Common Multiple (LCM) of 16040 and 16053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16040 and 16053. First we will calculate the prime factors of 16040 and 16053.

Prime Factorization of 16040

Prime Factorization of 16053

Now multiplying the highest exponent prime factors to calculate the LCM of 16040 and 16053.

LCM(16040,16053) = 2³ × 5¹ × 401¹ × 3¹ × 5351¹
LCM(16040,16053) = 257490120