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What is the Least Common Multiple of 87257 and 87273?

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 (LCM) of 87257 and 87273 is 7615180161.

LCM(87257,87273) = 7615180161

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Least Common Multiple of 87257 and 87273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87257 and 87273, than apply into the LCM equation.

GCF(87257,87273) = 1
LCM(87257,87273) = ( 87257 × 87273) / 1
LCM(87257,87273) = 7615180161 / 1
LCM(87257,87273) = 7615180161

Least Common Multiple (LCM) of 87257 and 87273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87257 and 87273. First we will calculate the prime factors of 87257 and 87273.

Prime Factorization of 87257

Prime factors of 87257 are 87257. Prime factorization of 87257 in exponential form is:

87257 = 872571

Prime Factorization of 87273

Prime factors of 87273 are 3, 9697. Prime factorization of 87273 in exponential form is:

87273 = 32 × 96971

Now multiplying the highest exponent prime factors to calculate the LCM of 87257 and 87273.

LCM(87257,87273) = 872571 × 32 × 96971
LCM(87257,87273) = 7615180161