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What is the Least Common Multiple of 95318 and 95338?

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 95318 and 95338 is 4543713742.

LCM(95318,95338) = 4543713742

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Least Common Multiple of 95318 and 95338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95318 and 95338, than apply into the LCM equation.

GCF(95318,95338) = 2
LCM(95318,95338) = ( 95318 × 95338) / 2
LCM(95318,95338) = 9087427484 / 2
LCM(95318,95338) = 4543713742

Least Common Multiple (LCM) of 95318 and 95338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95318 and 95338. First we will calculate the prime factors of 95318 and 95338.

Prime Factorization of 95318

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

95318 = 21 × 476591

Prime Factorization of 95338

Prime factors of 95338 are 2, 73, 653. Prime factorization of 95338 in exponential form is:

95338 = 21 × 731 × 6531

Now multiplying the highest exponent prime factors to calculate the LCM of 95318 and 95338.

LCM(95318,95338) = 21 × 476591 × 731 × 6531
LCM(95318,95338) = 4543713742