What is the Least Common Multiple of 29835 and 29850?

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 29835 and 29850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29835 and 29850, than apply into the LCM equation.

GCF(29835,29850) = 15
LCM(29835,29850) = ( 29835 × 29850) / 15
LCM(29835,29850) = 890574750 / 15
LCM(29835,29850) = 59371650

Least Common Multiple (LCM) of 29835 and 29850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29835 and 29850. First we will calculate the prime factors of 29835 and 29850.

Prime Factorization of 29835

Prime Factorization of 29850

Now multiplying the highest exponent prime factors to calculate the LCM of 29835 and 29850.

LCM(29835,29850) = 3³ × 5² × 13¹ × 17¹ × 2¹ × 199¹
LCM(29835,29850) = 59371650