What is the Least Common Multiple of 87957 and 87963?

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 87957 and 87963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87957 and 87963, than apply into the LCM equation.

GCF(87957,87963) = 3
LCM(87957,87963) = ( 87957 × 87963) / 3
LCM(87957,87963) = 7736961591 / 3
LCM(87957,87963) = 2578987197

Least Common Multiple (LCM) of 87957 and 87963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87957 and 87963. First we will calculate the prime factors of 87957 and 87963.

Prime Factorization of 87957

Prime Factorization of 87963

Now multiplying the highest exponent prime factors to calculate the LCM of 87957 and 87963.

LCM(87957,87963) = 3² × 29¹ × 337¹ × 109¹ × 269¹
LCM(87957,87963) = 2578987197