What is the Least Common Multiple of 77589 and 77603?

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 77589 and 77603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77589 and 77603, than apply into the LCM equation.

GCF(77589,77603) = 1
LCM(77589,77603) = ( 77589 × 77603) / 1
LCM(77589,77603) = 6021139167 / 1
LCM(77589,77603) = 6021139167

Least Common Multiple (LCM) of 77589 and 77603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77589 and 77603. First we will calculate the prime factors of 77589 and 77603.

Prime Factorization of 77589

Prime Factorization of 77603

Now multiplying the highest exponent prime factors to calculate the LCM of 77589 and 77603.

LCM(77589,77603) = 3² × 37¹ × 233¹ × 71¹ × 1093¹
LCM(77589,77603) = 6021139167