What is the Least Common Multiple of 73589 and 73606?

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 73589 and 73606 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73589 and 73606, than apply into the LCM equation.

GCF(73589,73606) = 1
LCM(73589,73606) = ( 73589 × 73606) / 1
LCM(73589,73606) = 5416591934 / 1
LCM(73589,73606) = 5416591934

Least Common Multiple (LCM) of 73589 and 73606 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73589 and 73606. First we will calculate the prime factors of 73589 and 73606.

Prime Factorization of 73589

Prime Factorization of 73606

Now multiplying the highest exponent prime factors to calculate the LCM of 73589 and 73606.

LCM(73589,73606) = 73589¹ × 2¹ × 13¹ × 19¹ × 149¹
LCM(73589,73606) = 5416591934