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What is the Least Common Multiple of 98852 and 98869?

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 98852 and 98869 is 9773398388.

LCM(98852,98869) = 9773398388

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Least Common Multiple of 98852 and 98869 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98852 and 98869, than apply into the LCM equation.

GCF(98852,98869) = 1
LCM(98852,98869) = ( 98852 × 98869) / 1
LCM(98852,98869) = 9773398388 / 1
LCM(98852,98869) = 9773398388

Least Common Multiple (LCM) of 98852 and 98869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98852 and 98869. First we will calculate the prime factors of 98852 and 98869.

Prime Factorization of 98852

Prime factors of 98852 are 2, 13, 1901. Prime factorization of 98852 in exponential form is:

98852 = 22 × 131 × 19011

Prime Factorization of 98869

Prime factors of 98869 are 98869. Prime factorization of 98869 in exponential form is:

98869 = 988691

Now multiplying the highest exponent prime factors to calculate the LCM of 98852 and 98869.

LCM(98852,98869) = 22 × 131 × 19011 × 988691
LCM(98852,98869) = 9773398388