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What is the Least Common Multiple of 86197 and 86212?

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 86197 and 86212 is 7431215764.

LCM(86197,86212) = 7431215764

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Least Common Multiple of 86197 and 86212 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86197 and 86212, than apply into the LCM equation.

GCF(86197,86212) = 1
LCM(86197,86212) = ( 86197 × 86212) / 1
LCM(86197,86212) = 7431215764 / 1
LCM(86197,86212) = 7431215764

Least Common Multiple (LCM) of 86197 and 86212 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86197 and 86212. First we will calculate the prime factors of 86197 and 86212.

Prime Factorization of 86197

Prime factors of 86197 are 86197. Prime factorization of 86197 in exponential form is:

86197 = 861971

Prime Factorization of 86212

Prime factors of 86212 are 2, 7, 3079. Prime factorization of 86212 in exponential form is:

86212 = 22 × 71 × 30791

Now multiplying the highest exponent prime factors to calculate the LCM of 86197 and 86212.

LCM(86197,86212) = 861971 × 22 × 71 × 30791
LCM(86197,86212) = 7431215764