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What is the Least Common Multiple of 85477 and 85487?

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 85477 and 85487 is 7307172299.

LCM(85477,85487) = 7307172299

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Least Common Multiple of 85477 and 85487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85477 and 85487, than apply into the LCM equation.

GCF(85477,85487) = 1
LCM(85477,85487) = ( 85477 × 85487) / 1
LCM(85477,85487) = 7307172299 / 1
LCM(85477,85487) = 7307172299

Least Common Multiple (LCM) of 85477 and 85487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85477 and 85487. First we will calculate the prime factors of 85477 and 85487.

Prime Factorization of 85477

Prime factors of 85477 are 7, 12211. Prime factorization of 85477 in exponential form is:

85477 = 71 × 122111

Prime Factorization of 85487

Prime factors of 85487 are 85487. Prime factorization of 85487 in exponential form is:

85487 = 854871

Now multiplying the highest exponent prime factors to calculate the LCM of 85477 and 85487.

LCM(85477,85487) = 71 × 122111 × 854871
LCM(85477,85487) = 7307172299