What is the Least Common Multiple of 88475 and 88489?

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 88475 and 88489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88475 and 88489, than apply into the LCM equation.

GCF(88475,88489) = 1
LCM(88475,88489) = ( 88475 × 88489) / 1
LCM(88475,88489) = 7829064275 / 1
LCM(88475,88489) = 7829064275

Least Common Multiple (LCM) of 88475 and 88489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88475 and 88489. First we will calculate the prime factors of 88475 and 88489.

Prime Factorization of 88475

Prime Factorization of 88489

Now multiplying the highest exponent prime factors to calculate the LCM of 88475 and 88489.

LCM(88475,88489) = 5² × 3539¹ × 107¹ × 827¹
LCM(88475,88489) = 7829064275