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What is the Least Common Multiple of 98207 and 98218?

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 98207 and 98218 is 9645695126.

LCM(98207,98218) = 9645695126

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Least Common Multiple of 98207 and 98218 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98207 and 98218, than apply into the LCM equation.

GCF(98207,98218) = 1
LCM(98207,98218) = ( 98207 × 98218) / 1
LCM(98207,98218) = 9645695126 / 1
LCM(98207,98218) = 9645695126

Least Common Multiple (LCM) of 98207 and 98218 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98207 and 98218. First we will calculate the prime factors of 98207 and 98218.

Prime Factorization of 98207

Prime factors of 98207 are 98207. Prime factorization of 98207 in exponential form is:

98207 = 982071

Prime Factorization of 98218

Prime factors of 98218 are 2, 49109. Prime factorization of 98218 in exponential form is:

98218 = 21 × 491091

Now multiplying the highest exponent prime factors to calculate the LCM of 98207 and 98218.

LCM(98207,98218) = 982071 × 21 × 491091
LCM(98207,98218) = 9645695126