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What is the Least Common Multiple of 95364 and 95368?

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 95364 and 95368 is 2273668488.

LCM(95364,95368) = 2273668488

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Least Common Multiple of 95364 and 95368 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95364 and 95368, than apply into the LCM equation.

GCF(95364,95368) = 4
LCM(95364,95368) = ( 95364 × 95368) / 4
LCM(95364,95368) = 9094673952 / 4
LCM(95364,95368) = 2273668488

Least Common Multiple (LCM) of 95364 and 95368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95364 and 95368. First we will calculate the prime factors of 95364 and 95368.

Prime Factorization of 95364

Prime factors of 95364 are 2, 3, 883. Prime factorization of 95364 in exponential form is:

95364 = 22 × 33 × 8831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 95364 and 95368.

LCM(95364,95368) = 23 × 33 × 8831 × 71 × 131 × 1311
LCM(95364,95368) = 2273668488