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What is the Least Common Multiple of 98965 and 98976?

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 98965 and 98976 is 9795159840.

LCM(98965,98976) = 9795159840

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Least Common Multiple of 98965 and 98976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98965 and 98976, than apply into the LCM equation.

GCF(98965,98976) = 1
LCM(98965,98976) = ( 98965 × 98976) / 1
LCM(98965,98976) = 9795159840 / 1
LCM(98965,98976) = 9795159840

Least Common Multiple (LCM) of 98965 and 98976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98965 and 98976. First we will calculate the prime factors of 98965 and 98976.

Prime Factorization of 98965

Prime factors of 98965 are 5, 19793. Prime factorization of 98965 in exponential form is:

98965 = 51 × 197931

Prime Factorization of 98976

Prime factors of 98976 are 2, 3, 1031. Prime factorization of 98976 in exponential form is:

98976 = 25 × 31 × 10311

Now multiplying the highest exponent prime factors to calculate the LCM of 98965 and 98976.

LCM(98965,98976) = 51 × 197931 × 25 × 31 × 10311
LCM(98965,98976) = 9795159840