What is the Least Common Multiple of 29839 and 29853?

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 29839 and 29853 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29839 and 29853, than apply into the LCM equation.

GCF(29839,29853) = 1
LCM(29839,29853) = ( 29839 × 29853) / 1
LCM(29839,29853) = 890783667 / 1
LCM(29839,29853) = 890783667

Least Common Multiple (LCM) of 29839 and 29853 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29839 and 29853. First we will calculate the prime factors of 29839 and 29853.

Prime Factorization of 29839

Prime Factorization of 29853

Now multiplying the highest exponent prime factors to calculate the LCM of 29839 and 29853.

LCM(29839,29853) = 53¹ × 563¹ × 3² × 31¹ × 107¹
LCM(29839,29853) = 890783667