What is the Least Common Multiple of 48590 and 48598?

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 48590 and 48598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48590 and 48598, than apply into the LCM equation.

GCF(48590,48598) = 2
LCM(48590,48598) = ( 48590 × 48598) / 2
LCM(48590,48598) = 2361376820 / 2
LCM(48590,48598) = 1180688410

Least Common Multiple (LCM) of 48590 and 48598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48590 and 48598. First we will calculate the prime factors of 48590 and 48598.

Prime Factorization of 48590

Prime Factorization of 48598

Now multiplying the highest exponent prime factors to calculate the LCM of 48590 and 48598.

LCM(48590,48598) = 2¹ × 5¹ × 43¹ × 113¹ × 11¹ × 47²
LCM(48590,48598) = 1180688410