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What is the Least Common Multiple of 95201 and 95212?

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 95201 and 95212 is 9064277612.

LCM(95201,95212) = 9064277612

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Least Common Multiple of 95201 and 95212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95201 and 95212, than apply into the LCM equation.

GCF(95201,95212) = 1
LCM(95201,95212) = ( 95201 × 95212) / 1
LCM(95201,95212) = 9064277612 / 1
LCM(95201,95212) = 9064277612

Least Common Multiple (LCM) of 95201 and 95212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95201 and 95212. First we will calculate the prime factors of 95201 and 95212.

Prime Factorization of 95201

Prime factors of 95201 are 31, 37, 83. Prime factorization of 95201 in exponential form is:

95201 = 311 × 371 × 831

Prime Factorization of 95212

Prime factors of 95212 are 2, 13, 1831. Prime factorization of 95212 in exponential form is:

95212 = 22 × 131 × 18311

Now multiplying the highest exponent prime factors to calculate the LCM of 95201 and 95212.

LCM(95201,95212) = 311 × 371 × 831 × 22 × 131 × 18311
LCM(95201,95212) = 9064277612