What is the Least Common Multiple of 16040 and 16049?

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 16049 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 16049, than apply into the LCM equation.

GCF(16040,16049) = 1
LCM(16040,16049) = ( 16040 × 16049) / 1
LCM(16040,16049) = 257425960 / 1
LCM(16040,16049) = 257425960

Least Common Multiple (LCM) of 16040 and 16049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16040 and 16049. First we will calculate the prime factors of 16040 and 16049.

Prime Factorization of 16040

Prime Factorization of 16049

Now multiplying the highest exponent prime factors to calculate the LCM of 16040 and 16049.

LCM(16040,16049) = 2³ × 5¹ × 401¹ × 11¹ × 1459¹
LCM(16040,16049) = 257425960