What is the Least Common Multiple of 77586 and 77595?

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 77586 and 77595 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77586 and 77595, than apply into the LCM equation.

GCF(77586,77595) = 3
LCM(77586,77595) = ( 77586 × 77595) / 3
LCM(77586,77595) = 6020285670 / 3
LCM(77586,77595) = 2006761890

Least Common Multiple (LCM) of 77586 and 77595 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77586 and 77595. First we will calculate the prime factors of 77586 and 77595.

Prime Factorization of 77586

Prime Factorization of 77595

Now multiplying the highest exponent prime factors to calculate the LCM of 77586 and 77595.

LCM(77586,77595) = 2¹ × 3¹ × 67¹ × 193¹ × 5¹ × 7¹ × 739¹
LCM(77586,77595) = 2006761890