What is the Least Common Multiple of 19506 and 19515?

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 19506 and 19515 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19506 and 19515, than apply into the LCM equation.

GCF(19506,19515) = 3
LCM(19506,19515) = ( 19506 × 19515) / 3
LCM(19506,19515) = 380659590 / 3
LCM(19506,19515) = 126886530

Least Common Multiple (LCM) of 19506 and 19515 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19506 and 19515. First we will calculate the prime factors of 19506 and 19515.

Prime Factorization of 19506

Prime Factorization of 19515

Now multiplying the highest exponent prime factors to calculate the LCM of 19506 and 19515.

LCM(19506,19515) = 2¹ × 3¹ × 3251¹ × 5¹ × 1301¹
LCM(19506,19515) = 126886530