What is the Least Common Multiple of 30872 and 30880?

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 30872 and 30880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30872 and 30880, than apply into the LCM equation.

GCF(30872,30880) = 8
LCM(30872,30880) = ( 30872 × 30880) / 8
LCM(30872,30880) = 953327360 / 8
LCM(30872,30880) = 119165920

Least Common Multiple (LCM) of 30872 and 30880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30872 and 30880. First we will calculate the prime factors of 30872 and 30880.

Prime Factorization of 30872

Prime Factorization of 30880

Now multiplying the highest exponent prime factors to calculate the LCM of 30872 and 30880.

LCM(30872,30880) = 2⁵ × 17¹ × 227¹ × 5¹ × 193¹
LCM(30872,30880) = 119165920