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What is the Least Common Multiple of 95210 and 95217?

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 95210 and 95217 is 9065610570.

LCM(95210,95217) = 9065610570

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Least Common Multiple of 95210 and 95217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95210 and 95217, than apply into the LCM equation.

GCF(95210,95217) = 1
LCM(95210,95217) = ( 95210 × 95217) / 1
LCM(95210,95217) = 9065610570 / 1
LCM(95210,95217) = 9065610570

Least Common Multiple (LCM) of 95210 and 95217 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95210 and 95217. First we will calculate the prime factors of 95210 and 95217.

Prime Factorization of 95210

Prime factors of 95210 are 2, 5, 9521. Prime factorization of 95210 in exponential form is:

95210 = 21 × 51 × 95211

Prime Factorization of 95217

Prime factors of 95217 are 3, 17, 1867. Prime factorization of 95217 in exponential form is:

95217 = 31 × 171 × 18671

Now multiplying the highest exponent prime factors to calculate the LCM of 95210 and 95217.

LCM(95210,95217) = 21 × 51 × 95211 × 31 × 171 × 18671
LCM(95210,95217) = 9065610570