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What is the Least Common Multiple of 83186 and 83197?

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 83186 and 83197 is 6920825642.

LCM(83186,83197) = 6920825642

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Least Common Multiple of 83186 and 83197 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83186 and 83197, than apply into the LCM equation.

GCF(83186,83197) = 1
LCM(83186,83197) = ( 83186 × 83197) / 1
LCM(83186,83197) = 6920825642 / 1
LCM(83186,83197) = 6920825642

Least Common Multiple (LCM) of 83186 and 83197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83186 and 83197. First we will calculate the prime factors of 83186 and 83197.

Prime Factorization of 83186

Prime factors of 83186 are 2, 41593. Prime factorization of 83186 in exponential form is:

83186 = 21 × 415931

Prime Factorization of 83197

Prime factors of 83197 are 271, 307. Prime factorization of 83197 in exponential form is:

83197 = 2711 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 83186 and 83197.

LCM(83186,83197) = 21 × 415931 × 2711 × 3071
LCM(83186,83197) = 6920825642