What is the Least Common Multiple of 87791 and 87797?

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 87791 and 87797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87791 and 87797, than apply into the LCM equation.

GCF(87791,87797) = 1
LCM(87791,87797) = ( 87791 × 87797) / 1
LCM(87791,87797) = 7707786427 / 1
LCM(87791,87797) = 7707786427

Least Common Multiple (LCM) of 87791 and 87797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87791 and 87797. First we will calculate the prime factors of 87791 and 87797.

Prime Factorization of 87791

Prime Factorization of 87797

Now multiplying the highest exponent prime factors to calculate the LCM of 87791 and 87797.

LCM(87791,87797) = 11¹ × 23¹ × 347¹ × 87797¹
LCM(87791,87797) = 7707786427