What is the Least Common Multiple of 19905 and 19920?

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 19905 and 19920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19905 and 19920, than apply into the LCM equation.

GCF(19905,19920) = 15
LCM(19905,19920) = ( 19905 × 19920) / 15
LCM(19905,19920) = 396507600 / 15
LCM(19905,19920) = 26433840

Least Common Multiple (LCM) of 19905 and 19920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19905 and 19920. First we will calculate the prime factors of 19905 and 19920.

Prime Factorization of 19905

Prime Factorization of 19920

Now multiplying the highest exponent prime factors to calculate the LCM of 19905 and 19920.

LCM(19905,19920) = 3¹ × 5¹ × 1327¹ × 2⁴ × 83¹
LCM(19905,19920) = 26433840