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What is the Least Common Multiple of 86143 and 86159?

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 86143 and 86159 is 7421994737.

LCM(86143,86159) = 7421994737

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Least Common Multiple of 86143 and 86159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86143 and 86159, than apply into the LCM equation.

GCF(86143,86159) = 1
LCM(86143,86159) = ( 86143 × 86159) / 1
LCM(86143,86159) = 7421994737 / 1
LCM(86143,86159) = 7421994737

Least Common Multiple (LCM) of 86143 and 86159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86143 and 86159. First we will calculate the prime factors of 86143 and 86159.

Prime Factorization of 86143

Prime factors of 86143 are 86143. Prime factorization of 86143 in exponential form is:

86143 = 861431

Prime Factorization of 86159

Prime factors of 86159 are 29, 2971. Prime factorization of 86159 in exponential form is:

86159 = 291 × 29711

Now multiplying the highest exponent prime factors to calculate the LCM of 86143 and 86159.

LCM(86143,86159) = 861431 × 291 × 29711
LCM(86143,86159) = 7421994737