What is the Least Common Multiple of 74865 and 74880?

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 74865 and 74880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74865 and 74880, than apply into the LCM equation.

GCF(74865,74880) = 15
LCM(74865,74880) = ( 74865 × 74880) / 15
LCM(74865,74880) = 5605891200 / 15
LCM(74865,74880) = 373726080

Least Common Multiple (LCM) of 74865 and 74880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74865 and 74880. First we will calculate the prime factors of 74865 and 74880.

Prime Factorization of 74865

Prime Factorization of 74880

Now multiplying the highest exponent prime factors to calculate the LCM of 74865 and 74880.

LCM(74865,74880) = 3² × 5¹ × 7¹ × 23¹ × 31¹ × 2⁷ × 13¹
LCM(74865,74880) = 373726080