What is the Least Common Multiple of 49821 and 49839?

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 49821 and 49839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49821 and 49839, than apply into the LCM equation.

GCF(49821,49839) = 3
LCM(49821,49839) = ( 49821 × 49839) / 3
LCM(49821,49839) = 2483028819 / 3
LCM(49821,49839) = 827676273

Least Common Multiple (LCM) of 49821 and 49839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49821 and 49839. First we will calculate the prime factors of 49821 and 49839.

Prime Factorization of 49821

Prime Factorization of 49839

Now multiplying the highest exponent prime factors to calculate the LCM of 49821 and 49839.

LCM(49821,49839) = 3¹ × 16607¹ × 37¹ × 449¹
LCM(49821,49839) = 827676273