What is the Least Common Multiple of 87321 and 87336?

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 87321 and 87336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87321 and 87336, than apply into the LCM equation.

GCF(87321,87336) = 3
LCM(87321,87336) = ( 87321 × 87336) / 3
LCM(87321,87336) = 7626266856 / 3
LCM(87321,87336) = 2542088952

Least Common Multiple (LCM) of 87321 and 87336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87321 and 87336. First we will calculate the prime factors of 87321 and 87336.

Prime Factorization of 87321

Prime Factorization of 87336

Now multiplying the highest exponent prime factors to calculate the LCM of 87321 and 87336.

LCM(87321,87336) = 3² × 13¹ × 2239¹ × 2³ × 1213¹
LCM(87321,87336) = 2542088952