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What is the Least Common Multiple of 99848 and 99861?

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 99848 and 99861 is 9970921128.

LCM(99848,99861) = 9970921128

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Least Common Multiple of 99848 and 99861 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99848 and 99861, than apply into the LCM equation.

GCF(99848,99861) = 1
LCM(99848,99861) = ( 99848 × 99861) / 1
LCM(99848,99861) = 9970921128 / 1
LCM(99848,99861) = 9970921128

Least Common Multiple (LCM) of 99848 and 99861 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99848 and 99861. First we will calculate the prime factors of 99848 and 99861.

Prime Factorization of 99848

Prime factors of 99848 are 2, 7, 1783. Prime factorization of 99848 in exponential form is:

99848 = 23 × 71 × 17831

Prime Factorization of 99861

Prime factors of 99861 are 3, 33287. Prime factorization of 99861 in exponential form is:

99861 = 31 × 332871

Now multiplying the highest exponent prime factors to calculate the LCM of 99848 and 99861.

LCM(99848,99861) = 23 × 71 × 17831 × 31 × 332871
LCM(99848,99861) = 9970921128