What is the Least Common Multiple of 87759 and 87771?

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 87759 and 87771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87759 and 87771, than apply into the LCM equation.

GCF(87759,87771) = 3
LCM(87759,87771) = ( 87759 × 87771) / 3
LCM(87759,87771) = 7702695189 / 3
LCM(87759,87771) = 2567565063

Least Common Multiple (LCM) of 87759 and 87771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87759 and 87771. First we will calculate the prime factors of 87759 and 87771.

Prime Factorization of 87759

Prime Factorization of 87771

Now multiplying the highest exponent prime factors to calculate the LCM of 87759 and 87771.

LCM(87759,87771) = 3² × 7² × 199¹ × 17¹ × 1721¹
LCM(87759,87771) = 2567565063