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What is the Least Common Multiple of 98223 and 98234?

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 98223 and 98234 is 9648838182.

LCM(98223,98234) = 9648838182

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Least Common Multiple of 98223 and 98234 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98223 and 98234, than apply into the LCM equation.

GCF(98223,98234) = 1
LCM(98223,98234) = ( 98223 × 98234) / 1
LCM(98223,98234) = 9648838182 / 1
LCM(98223,98234) = 9648838182

Least Common Multiple (LCM) of 98223 and 98234 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98223 and 98234. First we will calculate the prime factors of 98223 and 98234.

Prime Factorization of 98223

Prime factors of 98223 are 3, 29, 1129. Prime factorization of 98223 in exponential form is:

98223 = 31 × 291 × 11291

Prime Factorization of 98234

Prime factors of 98234 are 2, 49117. Prime factorization of 98234 in exponential form is:

98234 = 21 × 491171

Now multiplying the highest exponent prime factors to calculate the LCM of 98223 and 98234.

LCM(98223,98234) = 31 × 291 × 11291 × 21 × 491171
LCM(98223,98234) = 9648838182