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What is the Least Common Multiple of 95223 and 95230?

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 95223 and 95230 is 9068086290.

LCM(95223,95230) = 9068086290

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Least Common Multiple of 95223 and 95230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95223 and 95230, than apply into the LCM equation.

GCF(95223,95230) = 1
LCM(95223,95230) = ( 95223 × 95230) / 1
LCM(95223,95230) = 9068086290 / 1
LCM(95223,95230) = 9068086290

Least Common Multiple (LCM) of 95223 and 95230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95223 and 95230. First we will calculate the prime factors of 95223 and 95230.

Prime Factorization of 95223

Prime factors of 95223 are 3, 31741. Prime factorization of 95223 in exponential form is:

95223 = 31 × 317411

Prime Factorization of 95230

Prime factors of 95230 are 2, 5, 89, 107. Prime factorization of 95230 in exponential form is:

95230 = 21 × 51 × 891 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 95223 and 95230.

LCM(95223,95230) = 31 × 317411 × 21 × 51 × 891 × 1071
LCM(95223,95230) = 9068086290