What is the Least Common Multiple of 17892 and 17912?

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 17892 and 17912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17892 and 17912, than apply into the LCM equation.

GCF(17892,17912) = 4
LCM(17892,17912) = ( 17892 × 17912) / 4
LCM(17892,17912) = 320481504 / 4
LCM(17892,17912) = 80120376

Least Common Multiple (LCM) of 17892 and 17912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17892 and 17912. First we will calculate the prime factors of 17892 and 17912.

Prime Factorization of 17892

Prime Factorization of 17912

Now multiplying the highest exponent prime factors to calculate the LCM of 17892 and 17912.

LCM(17892,17912) = 2³ × 3² × 7¹ × 71¹ × 2239¹
LCM(17892,17912) = 80120376