What is the Least Common Multiple of 7791 and 7811?

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 7791 and 7811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7791 and 7811, than apply into the LCM equation.

GCF(7791,7811) = 1
LCM(7791,7811) = ( 7791 × 7811) / 1
LCM(7791,7811) = 60855501 / 1
LCM(7791,7811) = 60855501

Least Common Multiple (LCM) of 7791 and 7811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7791 and 7811. First we will calculate the prime factors of 7791 and 7811.

Prime Factorization of 7791

Prime Factorization of 7811

Now multiplying the highest exponent prime factors to calculate the LCM of 7791 and 7811.

LCM(7791,7811) = 3¹ × 7² × 53¹ × 73¹ × 107¹
LCM(7791,7811) = 60855501