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What is the Least Common Multiple of 95358 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 95358 and 95368 is 4547050872.

LCM(95358,95368) = 4547050872

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Least Common Multiple of 95358 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 95358 and 95368, than apply into the LCM equation.

GCF(95358,95368) = 2
LCM(95358,95368) = ( 95358 × 95368) / 2
LCM(95358,95368) = 9094101744 / 2
LCM(95358,95368) = 4547050872

Least Common Multiple (LCM) of 95358 and 95368 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95358 and 95368. First we will calculate the prime factors of 95358 and 95368.

Prime Factorization of 95358

Prime factors of 95358 are 2, 3, 23, 691. Prime factorization of 95358 in exponential form is:

95358 = 21 × 31 × 231 × 6911

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 95358 and 95368.

LCM(95358,95368) = 23 × 31 × 231 × 6911 × 71 × 131 × 1311
LCM(95358,95368) = 4547050872