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What is the Least Common Multiple of 95302 and 95318?

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 95302 and 95318 is 4541998018.

LCM(95302,95318) = 4541998018

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Least Common Multiple of 95302 and 95318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95302 and 95318, than apply into the LCM equation.

GCF(95302,95318) = 2
LCM(95302,95318) = ( 95302 × 95318) / 2
LCM(95302,95318) = 9083996036 / 2
LCM(95302,95318) = 4541998018

Least Common Multiple (LCM) of 95302 and 95318 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95302 and 95318. First we will calculate the prime factors of 95302 and 95318.

Prime Factorization of 95302

Prime factors of 95302 are 2, 17, 2803. Prime factorization of 95302 in exponential form is:

95302 = 21 × 171 × 28031

Prime Factorization of 95318

Prime factors of 95318 are 2, 47659. Prime factorization of 95318 in exponential form is:

95318 = 21 × 476591

Now multiplying the highest exponent prime factors to calculate the LCM of 95302 and 95318.

LCM(95302,95318) = 21 × 171 × 28031 × 476591
LCM(95302,95318) = 4541998018