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What is the Least Common Multiple of 95209 and 95221?

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 95209 and 95221 is 9065896189.

LCM(95209,95221) = 9065896189

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Least Common Multiple of 95209 and 95221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95209 and 95221, than apply into the LCM equation.

GCF(95209,95221) = 1
LCM(95209,95221) = ( 95209 × 95221) / 1
LCM(95209,95221) = 9065896189 / 1
LCM(95209,95221) = 9065896189

Least Common Multiple (LCM) of 95209 and 95221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95209 and 95221. First we will calculate the prime factors of 95209 and 95221.

Prime Factorization of 95209

Prime factors of 95209 are 19, 5011. Prime factorization of 95209 in exponential form is:

95209 = 191 × 50111

Prime Factorization of 95221

Prime factors of 95221 are 7, 61, 223. Prime factorization of 95221 in exponential form is:

95221 = 71 × 611 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 95209 and 95221.

LCM(95209,95221) = 191 × 50111 × 71 × 611 × 2231
LCM(95209,95221) = 9065896189