What is the Least Common Multiple of 13520 and 13533?

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 13520 and 13533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13520 and 13533, than apply into the LCM equation.

GCF(13520,13533) = 13
LCM(13520,13533) = ( 13520 × 13533) / 13
LCM(13520,13533) = 182966160 / 13
LCM(13520,13533) = 14074320

Least Common Multiple (LCM) of 13520 and 13533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13520 and 13533. First we will calculate the prime factors of 13520 and 13533.

Prime Factorization of 13520

Prime Factorization of 13533

Now multiplying the highest exponent prime factors to calculate the LCM of 13520 and 13533.

LCM(13520,13533) = 2⁴ × 5¹ × 13² × 3¹ × 347¹
LCM(13520,13533) = 14074320