What is the Least Common Multiple of 48577 and 48584?

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 48577 and 48584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48577 and 48584, than apply into the LCM equation.

GCF(48577,48584) = 1
LCM(48577,48584) = ( 48577 × 48584) / 1
LCM(48577,48584) = 2360064968 / 1
LCM(48577,48584) = 2360064968

Least Common Multiple (LCM) of 48577 and 48584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48577 and 48584. First we will calculate the prime factors of 48577 and 48584.

Prime Factorization of 48577

Prime Factorization of 48584

Now multiplying the highest exponent prime factors to calculate the LCM of 48577 and 48584.

LCM(48577,48584) = 31¹ × 1567¹ × 2³ × 6073¹
LCM(48577,48584) = 2360064968