What is the Least Common Multiple of 19515 and 19521?

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 19515 and 19521 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19515 and 19521, than apply into the LCM equation.

GCF(19515,19521) = 3
LCM(19515,19521) = ( 19515 × 19521) / 3
LCM(19515,19521) = 380952315 / 3
LCM(19515,19521) = 126984105

Least Common Multiple (LCM) of 19515 and 19521 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19515 and 19521. First we will calculate the prime factors of 19515 and 19521.

Prime Factorization of 19515

Prime Factorization of 19521

Now multiplying the highest exponent prime factors to calculate the LCM of 19515 and 19521.

LCM(19515,19521) = 3⁴ × 5¹ × 1301¹ × 241¹
LCM(19515,19521) = 126984105