What is the Least Common Multiple of 77665 and 77681?

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 77665 and 77681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77665 and 77681, than apply into the LCM equation.

GCF(77665,77681) = 1
LCM(77665,77681) = ( 77665 × 77681) / 1
LCM(77665,77681) = 6033094865 / 1
LCM(77665,77681) = 6033094865

Least Common Multiple (LCM) of 77665 and 77681 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77665 and 77681. First we will calculate the prime factors of 77665 and 77681.

Prime Factorization of 77665

Prime Factorization of 77681

Now multiplying the highest exponent prime factors to calculate the LCM of 77665 and 77681.

LCM(77665,77681) = 5¹ × 7² × 317¹ × 77681¹
LCM(77665,77681) = 6033094865