What is the Least Common Multiple of 19935 and 19955?

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 19935 and 19955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19935 and 19955, than apply into the LCM equation.

GCF(19935,19955) = 5
LCM(19935,19955) = ( 19935 × 19955) / 5
LCM(19935,19955) = 397802925 / 5
LCM(19935,19955) = 79560585

Least Common Multiple (LCM) of 19935 and 19955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19935 and 19955. First we will calculate the prime factors of 19935 and 19955.

Prime Factorization of 19935

Prime Factorization of 19955

Now multiplying the highest exponent prime factors to calculate the LCM of 19935 and 19955.

LCM(19935,19955) = 3² × 5¹ × 443¹ × 13¹ × 307¹
LCM(19935,19955) = 79560585