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What is the Least Common Multiple of 98417 and 98434?

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 98417 and 98434 is 9687578978.

LCM(98417,98434) = 9687578978

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Least Common Multiple of 98417 and 98434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98417 and 98434, than apply into the LCM equation.

GCF(98417,98434) = 1
LCM(98417,98434) = ( 98417 × 98434) / 1
LCM(98417,98434) = 9687578978 / 1
LCM(98417,98434) = 9687578978

Least Common Multiple (LCM) of 98417 and 98434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98417 and 98434. First we will calculate the prime factors of 98417 and 98434.

Prime Factorization of 98417

Prime factors of 98417 are 11, 23, 389. Prime factorization of 98417 in exponential form is:

98417 = 111 × 231 × 3891

Prime Factorization of 98434

Prime factors of 98434 are 2, 7, 79, 89. Prime factorization of 98434 in exponential form is:

98434 = 21 × 71 × 791 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 98417 and 98434.

LCM(98417,98434) = 111 × 231 × 3891 × 21 × 71 × 791 × 891
LCM(98417,98434) = 9687578978