What is the Least Common Multiple of 17832 and 17848?

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 17832 and 17848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17832 and 17848, than apply into the LCM equation.

GCF(17832,17848) = 8
LCM(17832,17848) = ( 17832 × 17848) / 8
LCM(17832,17848) = 318265536 / 8
LCM(17832,17848) = 39783192

Least Common Multiple (LCM) of 17832 and 17848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17832 and 17848. First we will calculate the prime factors of 17832 and 17848.

Prime Factorization of 17832

Prime Factorization of 17848

Now multiplying the highest exponent prime factors to calculate the LCM of 17832 and 17848.

LCM(17832,17848) = 2³ × 3¹ × 743¹ × 23¹ × 97¹
LCM(17832,17848) = 39783192