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What is the Least Common Multiple of 86156 and 86163?

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 86156 and 86163 is 1060494204.

LCM(86156,86163) = 1060494204

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Least Common Multiple of 86156 and 86163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86156 and 86163, than apply into the LCM equation.

GCF(86156,86163) = 7
LCM(86156,86163) = ( 86156 × 86163) / 7
LCM(86156,86163) = 7423459428 / 7
LCM(86156,86163) = 1060494204

Least Common Multiple (LCM) of 86156 and 86163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86156 and 86163. First we will calculate the prime factors of 86156 and 86163.

Prime Factorization of 86156

Prime factors of 86156 are 2, 7, 17, 181. Prime factorization of 86156 in exponential form is:

86156 = 22 × 71 × 171 × 1811

Prime Factorization of 86163

Prime factors of 86163 are 3, 7, 11, 373. Prime factorization of 86163 in exponential form is:

86163 = 31 × 71 × 111 × 3731

Now multiplying the highest exponent prime factors to calculate the LCM of 86156 and 86163.

LCM(86156,86163) = 22 × 71 × 171 × 1811 × 31 × 111 × 3731
LCM(86156,86163) = 1060494204