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What is the Least Common Multiple of 95368 and 95378?

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 95368 and 95378 is 4548004552.

LCM(95368,95378) = 4548004552

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Least Common Multiple of 95368 and 95378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95368 and 95378, than apply into the LCM equation.

GCF(95368,95378) = 2
LCM(95368,95378) = ( 95368 × 95378) / 2
LCM(95368,95378) = 9096009104 / 2
LCM(95368,95378) = 4548004552

Least Common Multiple (LCM) of 95368 and 95378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95368 and 95378. First we will calculate the prime factors of 95368 and 95378.

Prime Factorization of 95368

Prime factors of 95368 are 2, 7, 13, 131. Prime factorization of 95368 in exponential form is:

95368 = 23 × 71 × 131 × 1311

Prime Factorization of 95378

Prime factors of 95378 are 2, 103, 463. Prime factorization of 95378 in exponential form is:

95378 = 21 × 1031 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 95368 and 95378.

LCM(95368,95378) = 23 × 71 × 131 × 1311 × 1031 × 4631
LCM(95368,95378) = 4548004552