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What is the Least Common Multiple of 98963 and 98978?

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 98963 and 98978 is 9795159814.

LCM(98963,98978) = 9795159814

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Least Common Multiple of 98963 and 98978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98963 and 98978, than apply into the LCM equation.

GCF(98963,98978) = 1
LCM(98963,98978) = ( 98963 × 98978) / 1
LCM(98963,98978) = 9795159814 / 1
LCM(98963,98978) = 9795159814

Least Common Multiple (LCM) of 98963 and 98978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98963 and 98978. First we will calculate the prime factors of 98963 and 98978.

Prime Factorization of 98963

Prime factors of 98963 are 98963. Prime factorization of 98963 in exponential form is:

98963 = 989631

Prime Factorization of 98978

Prime factors of 98978 are 2, 11, 409. Prime factorization of 98978 in exponential form is:

98978 = 21 × 112 × 4091

Now multiplying the highest exponent prime factors to calculate the LCM of 98963 and 98978.

LCM(98963,98978) = 989631 × 21 × 112 × 4091
LCM(98963,98978) = 9795159814