What is the Least Common Multiple of 77763 and 77781?

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 77763 and 77781 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77763 and 77781, than apply into the LCM equation.

GCF(77763,77781) = 3
LCM(77763,77781) = ( 77763 × 77781) / 3
LCM(77763,77781) = 6048483903 / 3
LCM(77763,77781) = 2016161301

Least Common Multiple (LCM) of 77763 and 77781 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77763 and 77781. First we will calculate the prime factors of 77763 and 77781.

Prime Factorization of 77763

Prime Factorization of 77781

Now multiplying the highest exponent prime factors to calculate the LCM of 77763 and 77781.

LCM(77763,77781) = 3¹ × 7² × 23² × 11¹ × 2357¹
LCM(77763,77781) = 2016161301