What is the Least Common Multiple of 87324 and 87338?

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 87324 and 87338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87324 and 87338, than apply into the LCM equation.

GCF(87324,87338) = 2
LCM(87324,87338) = ( 87324 × 87338) / 2
LCM(87324,87338) = 7626703512 / 2
LCM(87324,87338) = 3813351756

Least Common Multiple (LCM) of 87324 and 87338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87324 and 87338. First we will calculate the prime factors of 87324 and 87338.

Prime Factorization of 87324

Prime Factorization of 87338

Now multiplying the highest exponent prime factors to calculate the LCM of 87324 and 87338.

LCM(87324,87338) = 2² × 3¹ × 19¹ × 383¹ × 43669¹
LCM(87324,87338) = 3813351756