What is the Least Common Multiple of 10560 and 10569?

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 10560 and 10569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10560 and 10569, than apply into the LCM equation.

GCF(10560,10569) = 3
LCM(10560,10569) = ( 10560 × 10569) / 3
LCM(10560,10569) = 111608640 / 3
LCM(10560,10569) = 37202880

Least Common Multiple (LCM) of 10560 and 10569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10560 and 10569. First we will calculate the prime factors of 10560 and 10569.

Prime Factorization of 10560

Prime Factorization of 10569

Now multiplying the highest exponent prime factors to calculate the LCM of 10560 and 10569.

LCM(10560,10569) = 2⁶ × 3¹ × 5¹ × 11¹ × 13¹ × 271¹
LCM(10560,10569) = 37202880