What is the Least Common Multiple of 77589 and 77609?

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 77609 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 77609, than apply into the LCM equation.

GCF(77589,77609) = 1
LCM(77589,77609) = ( 77589 × 77609) / 1
LCM(77589,77609) = 6021604701 / 1
LCM(77589,77609) = 6021604701

Least Common Multiple (LCM) of 77589 and 77609 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77589 and 77609. First we will calculate the prime factors of 77589 and 77609.

Prime Factorization of 77589

Prime Factorization of 77609

Now multiplying the highest exponent prime factors to calculate the LCM of 77589 and 77609.

LCM(77589,77609) = 3² × 37¹ × 233¹ × 7¹ × 11087¹
LCM(77589,77609) = 6021604701