What is the Least Common Multiple of 19840 and 19850?

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 19840 and 19850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19840 and 19850, than apply into the LCM equation.

GCF(19840,19850) = 10
LCM(19840,19850) = ( 19840 × 19850) / 10
LCM(19840,19850) = 393824000 / 10
LCM(19840,19850) = 39382400

Least Common Multiple (LCM) of 19840 and 19850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19840 and 19850. First we will calculate the prime factors of 19840 and 19850.

Prime Factorization of 19840

Prime Factorization of 19850

Now multiplying the highest exponent prime factors to calculate the LCM of 19840 and 19850.

LCM(19840,19850) = 2⁷ × 5² × 31¹ × 397¹
LCM(19840,19850) = 39382400