What is the Least Common Multiple of 87345 and 87360?

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 87345 and 87360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87345 and 87360, than apply into the LCM equation.

GCF(87345,87360) = 15
LCM(87345,87360) = ( 87345 × 87360) / 15
LCM(87345,87360) = 7630459200 / 15
LCM(87345,87360) = 508697280

Least Common Multiple (LCM) of 87345 and 87360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87345 and 87360. First we will calculate the prime factors of 87345 and 87360.

Prime Factorization of 87345

Prime Factorization of 87360

Now multiplying the highest exponent prime factors to calculate the LCM of 87345 and 87360.

LCM(87345,87360) = 3³ × 5¹ × 647¹ × 2⁶ × 7¹ × 13¹
LCM(87345,87360) = 508697280