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What is the Least Common Multiple of 95831 and 95848?

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 95831 and 95848 is 9185209688.

LCM(95831,95848) = 9185209688

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Least Common Multiple of 95831 and 95848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95831 and 95848, than apply into the LCM equation.

GCF(95831,95848) = 1
LCM(95831,95848) = ( 95831 × 95848) / 1
LCM(95831,95848) = 9185209688 / 1
LCM(95831,95848) = 9185209688

Least Common Multiple (LCM) of 95831 and 95848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95831 and 95848. First we will calculate the prime factors of 95831 and 95848.

Prime Factorization of 95831

Prime factors of 95831 are 61, 1571. Prime factorization of 95831 in exponential form is:

95831 = 611 × 15711

Prime Factorization of 95848

Prime factors of 95848 are 2, 11981. Prime factorization of 95848 in exponential form is:

95848 = 23 × 119811

Now multiplying the highest exponent prime factors to calculate the LCM of 95831 and 95848.

LCM(95831,95848) = 611 × 15711 × 23 × 119811
LCM(95831,95848) = 9185209688