What is the Least Common Multiple of 73896 and 73903?

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 73896 and 73903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73896 and 73903, than apply into the LCM equation.

GCF(73896,73903) = 1
LCM(73896,73903) = ( 73896 × 73903) / 1
LCM(73896,73903) = 5461136088 / 1
LCM(73896,73903) = 5461136088

Least Common Multiple (LCM) of 73896 and 73903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73896 and 73903. First we will calculate the prime factors of 73896 and 73903.

Prime Factorization of 73896

Prime Factorization of 73903

Now multiplying the highest exponent prime factors to calculate the LCM of 73896 and 73903.

LCM(73896,73903) = 2³ × 3¹ × 3079¹ × 263¹ × 281¹
LCM(73896,73903) = 5461136088