What is the Least Common Multiple of 67860 and 67875?

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 67860 and 67875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67860 and 67875, than apply into the LCM equation.

GCF(67860,67875) = 15
LCM(67860,67875) = ( 67860 × 67875) / 15
LCM(67860,67875) = 4605997500 / 15
LCM(67860,67875) = 307066500

Least Common Multiple (LCM) of 67860 and 67875 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67860 and 67875. First we will calculate the prime factors of 67860 and 67875.

Prime Factorization of 67860

Prime Factorization of 67875

Now multiplying the highest exponent prime factors to calculate the LCM of 67860 and 67875.

LCM(67860,67875) = 2² × 3² × 5³ × 13¹ × 29¹ × 181¹
LCM(67860,67875) = 307066500