What is the Least Common Multiple of 87243 and 87252?

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 87243 and 87252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87243 and 87252, than apply into the LCM equation.

GCF(87243,87252) = 3
LCM(87243,87252) = ( 87243 × 87252) / 3
LCM(87243,87252) = 7612126236 / 3
LCM(87243,87252) = 2537375412

Least Common Multiple (LCM) of 87243 and 87252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87243 and 87252. First we will calculate the prime factors of 87243 and 87252.

Prime Factorization of 87243

Prime Factorization of 87252

Now multiplying the highest exponent prime factors to calculate the LCM of 87243 and 87252.

LCM(87243,87252) = 3¹ × 13¹ × 2237¹ × 2² × 11¹ × 661¹
LCM(87243,87252) = 2537375412