What is the Least Common Multiple of 30440 and 30445?

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 30440 and 30445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30440 and 30445, than apply into the LCM equation.

GCF(30440,30445) = 5
LCM(30440,30445) = ( 30440 × 30445) / 5
LCM(30440,30445) = 926745800 / 5
LCM(30440,30445) = 185349160

Least Common Multiple (LCM) of 30440 and 30445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30440 and 30445. First we will calculate the prime factors of 30440 and 30445.

Prime Factorization of 30440

Prime Factorization of 30445

Now multiplying the highest exponent prime factors to calculate the LCM of 30440 and 30445.

LCM(30440,30445) = 2³ × 5¹ × 761¹ × 6089¹
LCM(30440,30445) = 185349160