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What is the Least Common Multiple of 98884 and 98897?

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 98884 and 98897 is 9779330948.

LCM(98884,98897) = 9779330948

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Least Common Multiple of 98884 and 98897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98884 and 98897, than apply into the LCM equation.

GCF(98884,98897) = 1
LCM(98884,98897) = ( 98884 × 98897) / 1
LCM(98884,98897) = 9779330948 / 1
LCM(98884,98897) = 9779330948

Least Common Multiple (LCM) of 98884 and 98897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98884 and 98897. First we will calculate the prime factors of 98884 and 98897.

Prime Factorization of 98884

Prime factors of 98884 are 2, 59, 419. Prime factorization of 98884 in exponential form is:

98884 = 22 × 591 × 4191

Prime Factorization of 98897

Prime factors of 98897 are 98897. Prime factorization of 98897 in exponential form is:

98897 = 988971

Now multiplying the highest exponent prime factors to calculate the LCM of 98884 and 98897.

LCM(98884,98897) = 22 × 591 × 4191 × 988971
LCM(98884,98897) = 9779330948