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What is the Least Common Multiple of 96477 and 96487?

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 96477 and 96487 is 9308776299.

LCM(96477,96487) = 9308776299

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Least Common Multiple of 96477 and 96487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96477 and 96487, than apply into the LCM equation.

GCF(96477,96487) = 1
LCM(96477,96487) = ( 96477 × 96487) / 1
LCM(96477,96487) = 9308776299 / 1
LCM(96477,96487) = 9308776299

Least Common Multiple (LCM) of 96477 and 96487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96477 and 96487. First we will calculate the prime factors of 96477 and 96487.

Prime Factorization of 96477

Prime factors of 96477 are 3, 32159. Prime factorization of 96477 in exponential form is:

96477 = 31 × 321591

Prime Factorization of 96487

Prime factors of 96487 are 96487. Prime factorization of 96487 in exponential form is:

96487 = 964871

Now multiplying the highest exponent prime factors to calculate the LCM of 96477 and 96487.

LCM(96477,96487) = 31 × 321591 × 964871
LCM(96477,96487) = 9308776299