What is the Least Common Multiple of 21513 and 21531?

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 21513 and 21531 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21513 and 21531, than apply into the LCM equation.

GCF(21513,21531) = 3
LCM(21513,21531) = ( 21513 × 21531) / 3
LCM(21513,21531) = 463196403 / 3
LCM(21513,21531) = 154398801

Least Common Multiple (LCM) of 21513 and 21531 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21513 and 21531. First we will calculate the prime factors of 21513 and 21531.

Prime Factorization of 21513

Prime Factorization of 21531

Now multiplying the highest exponent prime factors to calculate the LCM of 21513 and 21531.

LCM(21513,21531) = 3¹ × 71¹ × 101¹ × 7177¹
LCM(21513,21531) = 154398801