What is the Least Common Multiple of 51589 and 51602?

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 51589 and 51602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51589 and 51602, than apply into the LCM equation.

GCF(51589,51602) = 1
LCM(51589,51602) = ( 51589 × 51602) / 1
LCM(51589,51602) = 2662095578 / 1
LCM(51589,51602) = 2662095578

Least Common Multiple (LCM) of 51589 and 51602 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51589 and 51602. First we will calculate the prime factors of 51589 and 51602.

Prime Factorization of 51589

Prime Factorization of 51602

Now multiplying the highest exponent prime factors to calculate the LCM of 51589 and 51602.

LCM(51589,51602) = 23¹ × 2243¹ × 2¹ × 25801¹
LCM(51589,51602) = 2662095578