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What is the Least Common Multiple of 98463 and 98479?

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 98463 and 98479 is 9696537777.

LCM(98463,98479) = 9696537777

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Least Common Multiple of 98463 and 98479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98463 and 98479, than apply into the LCM equation.

GCF(98463,98479) = 1
LCM(98463,98479) = ( 98463 × 98479) / 1
LCM(98463,98479) = 9696537777 / 1
LCM(98463,98479) = 9696537777

Least Common Multiple (LCM) of 98463 and 98479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98463 and 98479. First we will calculate the prime factors of 98463 and 98479.

Prime Factorization of 98463

Prime factors of 98463 are 3, 23, 1427. Prime factorization of 98463 in exponential form is:

98463 = 31 × 231 × 14271

Prime Factorization of 98479

Prime factors of 98479 are 98479. Prime factorization of 98479 in exponential form is:

98479 = 984791

Now multiplying the highest exponent prime factors to calculate the LCM of 98463 and 98479.

LCM(98463,98479) = 31 × 231 × 14271 × 984791
LCM(98463,98479) = 9696537777