What is the Least Common Multiple of 87252 and 87261?

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 87252 and 87261 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87252 and 87261, than apply into the LCM equation.

GCF(87252,87261) = 3
LCM(87252,87261) = ( 87252 × 87261) / 3
LCM(87252,87261) = 7613696772 / 3
LCM(87252,87261) = 2537898924

Least Common Multiple (LCM) of 87252 and 87261 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87252 and 87261. First we will calculate the prime factors of 87252 and 87261.

Prime Factorization of 87252

Prime Factorization of 87261

Now multiplying the highest exponent prime factors to calculate the LCM of 87252 and 87261.

LCM(87252,87261) = 2² × 3¹ × 11¹ × 661¹ × 17¹ × 29¹ × 59¹
LCM(87252,87261) = 2537898924