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What is the Least Common Multiple of 98222 and 98233?

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 98222 and 98233 is 9648641726.

LCM(98222,98233) = 9648641726

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Least Common Multiple of 98222 and 98233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98222 and 98233, than apply into the LCM equation.

GCF(98222,98233) = 1
LCM(98222,98233) = ( 98222 × 98233) / 1
LCM(98222,98233) = 9648641726 / 1
LCM(98222,98233) = 9648641726

Least Common Multiple (LCM) of 98222 and 98233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98222 and 98233. First we will calculate the prime factors of 98222 and 98233.

Prime Factorization of 98222

Prime factors of 98222 are 2, 67, 733. Prime factorization of 98222 in exponential form is:

98222 = 21 × 671 × 7331

Prime Factorization of 98233

Prime factors of 98233 are 23, 4271. Prime factorization of 98233 in exponential form is:

98233 = 231 × 42711

Now multiplying the highest exponent prime factors to calculate the LCM of 98222 and 98233.

LCM(98222,98233) = 21 × 671 × 7331 × 231 × 42711
LCM(98222,98233) = 9648641726