What is the Least Common Multiple of 87567 and 87573?

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 87567 and 87573 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87567 and 87573, than apply into the LCM equation.

GCF(87567,87573) = 3
LCM(87567,87573) = ( 87567 × 87573) / 3
LCM(87567,87573) = 7668504891 / 3
LCM(87567,87573) = 2556168297

Least Common Multiple (LCM) of 87567 and 87573 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87567 and 87573. First we will calculate the prime factors of 87567 and 87573.

Prime Factorization of 87567

Prime Factorization of 87573

Now multiplying the highest exponent prime factors to calculate the LCM of 87567 and 87573.

LCM(87567,87573) = 3¹ × 17² × 101¹ × 29191¹
LCM(87567,87573) = 2556168297