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What is the Least Common Multiple of 95112 and 95116?

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 95112 and 95116 is 2261668248.

LCM(95112,95116) = 2261668248

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Least Common Multiple of 95112 and 95116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95112 and 95116, than apply into the LCM equation.

GCF(95112,95116) = 4
LCM(95112,95116) = ( 95112 × 95116) / 4
LCM(95112,95116) = 9046672992 / 4
LCM(95112,95116) = 2261668248

Least Common Multiple (LCM) of 95112 and 95116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95112 and 95116. First we will calculate the prime factors of 95112 and 95116.

Prime Factorization of 95112

Prime factors of 95112 are 2, 3, 1321. Prime factorization of 95112 in exponential form is:

95112 = 23 × 32 × 13211

Prime Factorization of 95116

Prime factors of 95116 are 2, 7, 43, 79. Prime factorization of 95116 in exponential form is:

95116 = 22 × 71 × 431 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 95112 and 95116.

LCM(95112,95116) = 23 × 32 × 13211 × 71 × 431 × 791
LCM(95112,95116) = 2261668248