What is the Least Common Multiple of 19825 and 19840?

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 19840 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 19840, than apply into the LCM equation.

GCF(19825,19840) = 5
LCM(19825,19840) = ( 19825 × 19840) / 5
LCM(19825,19840) = 393328000 / 5
LCM(19825,19840) = 78665600

Least Common Multiple (LCM) of 19825 and 19840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19825 and 19840. First we will calculate the prime factors of 19825 and 19840.

Prime Factorization of 19825

Prime Factorization of 19840

Now multiplying the highest exponent prime factors to calculate the LCM of 19825 and 19840.

LCM(19825,19840) = 5² × 13¹ × 61¹ × 2⁷ × 31¹
LCM(19825,19840) = 78665600