What is the Least Common Multiple of 88569 and 88577?

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 88569 and 88577 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88569 and 88577, than apply into the LCM equation.

GCF(88569,88577) = 1
LCM(88569,88577) = ( 88569 × 88577) / 1
LCM(88569,88577) = 7845176313 / 1
LCM(88569,88577) = 7845176313

Least Common Multiple (LCM) of 88569 and 88577 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88569 and 88577. First we will calculate the prime factors of 88569 and 88577.

Prime Factorization of 88569

Prime Factorization of 88577

Now multiplying the highest exponent prime factors to calculate the LCM of 88569 and 88577.

LCM(88569,88577) = 3² × 13¹ × 757¹ × 101¹ × 877¹
LCM(88569,88577) = 7845176313