What is the Least Common Multiple of 48380 and 48392?

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 48380 and 48392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48380 and 48392, than apply into the LCM equation.

GCF(48380,48392) = 4
LCM(48380,48392) = ( 48380 × 48392) / 4
LCM(48380,48392) = 2341204960 / 4
LCM(48380,48392) = 585301240

Least Common Multiple (LCM) of 48380 and 48392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48380 and 48392. First we will calculate the prime factors of 48380 and 48392.

Prime Factorization of 48380

Prime Factorization of 48392

Now multiplying the highest exponent prime factors to calculate the LCM of 48380 and 48392.

LCM(48380,48392) = 2³ × 5¹ × 41¹ × 59¹ × 23¹ × 263¹
LCM(48380,48392) = 585301240