What is the Least Common Multiple of 17874 and 17880?

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 17874 and 17880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17874 and 17880, than apply into the LCM equation.

GCF(17874,17880) = 6
LCM(17874,17880) = ( 17874 × 17880) / 6
LCM(17874,17880) = 319587120 / 6
LCM(17874,17880) = 53264520

Least Common Multiple (LCM) of 17874 and 17880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17874 and 17880. First we will calculate the prime factors of 17874 and 17880.

Prime Factorization of 17874

Prime Factorization of 17880

Now multiplying the highest exponent prime factors to calculate the LCM of 17874 and 17880.

LCM(17874,17880) = 2³ × 3³ × 331¹ × 5¹ × 149¹
LCM(17874,17880) = 53264520