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What is the Least Common Multiple of 98455 and 98467?

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 98455 and 98467 is 9694568485.

LCM(98455,98467) = 9694568485

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Least Common Multiple of 98455 and 98467 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98455 and 98467, than apply into the LCM equation.

GCF(98455,98467) = 1
LCM(98455,98467) = ( 98455 × 98467) / 1
LCM(98455,98467) = 9694568485 / 1
LCM(98455,98467) = 9694568485

Least Common Multiple (LCM) of 98455 and 98467 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98455 and 98467. First we will calculate the prime factors of 98455 and 98467.

Prime Factorization of 98455

Prime factors of 98455 are 5, 7, 29, 97. Prime factorization of 98455 in exponential form is:

98455 = 51 × 71 × 291 × 971

Prime Factorization of 98467

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

98467 = 984671

Now multiplying the highest exponent prime factors to calculate the LCM of 98455 and 98467.

LCM(98455,98467) = 51 × 71 × 291 × 971 × 984671
LCM(98455,98467) = 9694568485