What is the Least Common Multiple of 48830 and 48849?

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 48830 and 48849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48830 and 48849, than apply into the LCM equation.

GCF(48830,48849) = 19
LCM(48830,48849) = ( 48830 × 48849) / 19
LCM(48830,48849) = 2385296670 / 19
LCM(48830,48849) = 125541930

Least Common Multiple (LCM) of 48830 and 48849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48830 and 48849. First we will calculate the prime factors of 48830 and 48849.

Prime Factorization of 48830

Prime Factorization of 48849

Now multiplying the highest exponent prime factors to calculate the LCM of 48830 and 48849.

LCM(48830,48849) = 2¹ × 5¹ × 19¹ × 257¹ × 3¹ × 857¹
LCM(48830,48849) = 125541930