What is the Least Common Multiple of 4560 and 4569?

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 4560 and 4569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4560 and 4569, than apply into the LCM equation.

GCF(4560,4569) = 3
LCM(4560,4569) = ( 4560 × 4569) / 3
LCM(4560,4569) = 20834640 / 3
LCM(4560,4569) = 6944880

Least Common Multiple (LCM) of 4560 and 4569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4560 and 4569. First we will calculate the prime factors of 4560 and 4569.

Prime Factorization of 4560

Prime Factorization of 4569

Now multiplying the highest exponent prime factors to calculate the LCM of 4560 and 4569.

LCM(4560,4569) = 2⁴ × 3¹ × 5¹ × 19¹ × 1523¹
LCM(4560,4569) = 6944880