What is the Least Common Multiple of 30578 and 30592?

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 30578 and 30592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30578 and 30592, than apply into the LCM equation.

GCF(30578,30592) = 2
LCM(30578,30592) = ( 30578 × 30592) / 2
LCM(30578,30592) = 935442176 / 2
LCM(30578,30592) = 467721088

Least Common Multiple (LCM) of 30578 and 30592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30578 and 30592. First we will calculate the prime factors of 30578 and 30592.

Prime Factorization of 30578

Prime Factorization of 30592

Now multiplying the highest exponent prime factors to calculate the LCM of 30578 and 30592.

LCM(30578,30592) = 2⁷ × 15289¹ × 239¹
LCM(30578,30592) = 467721088