What is the Least Common Multiple of 88559 and 88575?

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 88559 and 88575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88559 and 88575, than apply into the LCM equation.

GCF(88559,88575) = 1
LCM(88559,88575) = ( 88559 × 88575) / 1
LCM(88559,88575) = 7844113425 / 1
LCM(88559,88575) = 7844113425

Least Common Multiple (LCM) of 88559 and 88575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88559 and 88575. First we will calculate the prime factors of 88559 and 88575.

Prime Factorization of 88559

Prime Factorization of 88575

Now multiplying the highest exponent prime factors to calculate the LCM of 88559 and 88575.

LCM(88559,88575) = 19¹ × 59¹ × 79¹ × 3¹ × 5² × 1181¹
LCM(88559,88575) = 7844113425