What is the Least Common Multiple of 87657 and 87669?

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 87657 and 87669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87657 and 87669, than apply into the LCM equation.

GCF(87657,87669) = 3
LCM(87657,87669) = ( 87657 × 87669) / 3
LCM(87657,87669) = 7684801533 / 3
LCM(87657,87669) = 2561600511

Least Common Multiple (LCM) of 87657 and 87669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87657 and 87669. First we will calculate the prime factors of 87657 and 87669.

Prime Factorization of 87657

Prime Factorization of 87669

Now multiplying the highest exponent prime factors to calculate the LCM of 87657 and 87669.

LCM(87657,87669) = 3³ × 61¹ × 479¹ × 17¹ × 191¹
LCM(87657,87669) = 2561600511