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What is the Least Common Multiple of 98467 and 98477?

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 98467 and 98477 is 9696734759.

LCM(98467,98477) = 9696734759

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Least Common Multiple of 98467 and 98477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98467 and 98477, than apply into the LCM equation.

GCF(98467,98477) = 1
LCM(98467,98477) = ( 98467 × 98477) / 1
LCM(98467,98477) = 9696734759 / 1
LCM(98467,98477) = 9696734759

Least Common Multiple (LCM) of 98467 and 98477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98467 and 98477. First we will calculate the prime factors of 98467 and 98477.

Prime Factorization of 98467

Prime factors of 98467 are 98467. Prime factorization of 98467 in exponential form is:

98467 = 984671

Prime Factorization of 98477

Prime factors of 98477 are 19, 71, 73. Prime factorization of 98477 in exponential form is:

98477 = 191 × 711 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 98467 and 98477.

LCM(98467,98477) = 984671 × 191 × 711 × 731
LCM(98467,98477) = 9696734759