What is the Least Common Multiple of 48837 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 48837 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 48837 and 48849, than apply into the LCM equation.

GCF(48837,48849) = 3
LCM(48837,48849) = ( 48837 × 48849) / 3
LCM(48837,48849) = 2385638613 / 3
LCM(48837,48849) = 795212871

Least Common Multiple (LCM) of 48837 and 48849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48837 and 48849. First we will calculate the prime factors of 48837 and 48849.

Prime Factorization of 48837

Prime Factorization of 48849

Now multiplying the highest exponent prime factors to calculate the LCM of 48837 and 48849.

LCM(48837,48849) = 3¹ × 73¹ × 223¹ × 19¹ × 857¹
LCM(48837,48849) = 795212871