What is the Least Common Multiple of 78569 and 78588?

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 78569 and 78588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78569 and 78588, than apply into the LCM equation.

GCF(78569,78588) = 1
LCM(78569,78588) = ( 78569 × 78588) / 1
LCM(78569,78588) = 6174580572 / 1
LCM(78569,78588) = 6174580572

Least Common Multiple (LCM) of 78569 and 78588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78569 and 78588. First we will calculate the prime factors of 78569 and 78588.

Prime Factorization of 78569

Prime Factorization of 78588

Now multiplying the highest exponent prime factors to calculate the LCM of 78569 and 78588.

LCM(78569,78588) = 78569¹ × 2² × 3² × 37¹ × 59¹
LCM(78569,78588) = 6174580572