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What is the Least Common Multiple of 95197 and 95213?

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 95197 and 95213 is 9063991961.

LCM(95197,95213) = 9063991961

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Least Common Multiple of 95197 and 95213 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95197 and 95213, than apply into the LCM equation.

GCF(95197,95213) = 1
LCM(95197,95213) = ( 95197 × 95213) / 1
LCM(95197,95213) = 9063991961 / 1
LCM(95197,95213) = 9063991961

Least Common Multiple (LCM) of 95197 and 95213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95197 and 95213. First we will calculate the prime factors of 95197 and 95213.

Prime Factorization of 95197

Prime factors of 95197 are 23, 4139. Prime factorization of 95197 in exponential form is:

95197 = 231 × 41391

Prime Factorization of 95213

Prime factors of 95213 are 95213. Prime factorization of 95213 in exponential form is:

95213 = 952131

Now multiplying the highest exponent prime factors to calculate the LCM of 95197 and 95213.

LCM(95197,95213) = 231 × 41391 × 952131
LCM(95197,95213) = 9063991961