What is the Least Common Multiple of 29886 and 29903?

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 29886 and 29903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29886 and 29903, than apply into the LCM equation.

GCF(29886,29903) = 17
LCM(29886,29903) = ( 29886 × 29903) / 17
LCM(29886,29903) = 893681058 / 17
LCM(29886,29903) = 52569474

Least Common Multiple (LCM) of 29886 and 29903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29886 and 29903. First we will calculate the prime factors of 29886 and 29903.

Prime Factorization of 29886

Prime Factorization of 29903

Now multiplying the highest exponent prime factors to calculate the LCM of 29886 and 29903.

LCM(29886,29903) = 2¹ × 3¹ × 17¹ × 293¹ × 1759¹
LCM(29886,29903) = 52569474