What is the Least Common Multiple of 30880 and 30898?

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 30880 and 30898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30880 and 30898, than apply into the LCM equation.

GCF(30880,30898) = 2
LCM(30880,30898) = ( 30880 × 30898) / 2
LCM(30880,30898) = 954130240 / 2
LCM(30880,30898) = 477065120

Least Common Multiple (LCM) of 30880 and 30898 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30880 and 30898. First we will calculate the prime factors of 30880 and 30898.

Prime Factorization of 30880

Prime Factorization of 30898

Now multiplying the highest exponent prime factors to calculate the LCM of 30880 and 30898.

LCM(30880,30898) = 2⁵ × 5¹ × 193¹ × 7¹ × 2207¹
LCM(30880,30898) = 477065120