What is the Least Common Multiple of 88560 and 88569?

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 88560 and 88569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88560 and 88569, than apply into the LCM equation.

GCF(88560,88569) = 9
LCM(88560,88569) = ( 88560 × 88569) / 9
LCM(88560,88569) = 7843670640 / 9
LCM(88560,88569) = 871518960

Least Common Multiple (LCM) of 88560 and 88569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88560 and 88569. First we will calculate the prime factors of 88560 and 88569.

Prime Factorization of 88560

Prime Factorization of 88569

Now multiplying the highest exponent prime factors to calculate the LCM of 88560 and 88569.

LCM(88560,88569) = 2⁴ × 3³ × 5¹ × 41¹ × 13¹ × 757¹
LCM(88560,88569) = 871518960