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What is the Least Common Multiple of 95843 and 95850?

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 95843 and 95850 is 9186551550.

LCM(95843,95850) = 9186551550

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Least Common Multiple of 95843 and 95850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95843 and 95850, than apply into the LCM equation.

GCF(95843,95850) = 1
LCM(95843,95850) = ( 95843 × 95850) / 1
LCM(95843,95850) = 9186551550 / 1
LCM(95843,95850) = 9186551550

Least Common Multiple (LCM) of 95843 and 95850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95843 and 95850. First we will calculate the prime factors of 95843 and 95850.

Prime Factorization of 95843

Prime factors of 95843 are 11, 8713. Prime factorization of 95843 in exponential form is:

95843 = 111 × 87131

Prime Factorization of 95850

Prime factors of 95850 are 2, 3, 5, 71. Prime factorization of 95850 in exponential form is:

95850 = 21 × 33 × 52 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 95843 and 95850.

LCM(95843,95850) = 111 × 87131 × 21 × 33 × 52 × 711
LCM(95843,95850) = 9186551550