What is the Least Common Multiple of 19825 and 19830?

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 19825 and 19830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19825 and 19830, than apply into the LCM equation.

GCF(19825,19830) = 5
LCM(19825,19830) = ( 19825 × 19830) / 5
LCM(19825,19830) = 393129750 / 5
LCM(19825,19830) = 78625950

Least Common Multiple (LCM) of 19825 and 19830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19825 and 19830. First we will calculate the prime factors of 19825 and 19830.

Prime Factorization of 19825

Prime Factorization of 19830

Now multiplying the highest exponent prime factors to calculate the LCM of 19825 and 19830.

LCM(19825,19830) = 5² × 13¹ × 61¹ × 2¹ × 3¹ × 661¹
LCM(19825,19830) = 78625950