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What is the Least Common Multiple of 62188 and 62197?

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 62188 and 62197 is 3867907036.

LCM(62188,62197) = 3867907036

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Least Common Multiple of 62188 and 62197 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62188 and 62197, than apply into the LCM equation.

GCF(62188,62197) = 1
LCM(62188,62197) = ( 62188 × 62197) / 1
LCM(62188,62197) = 3867907036 / 1
LCM(62188,62197) = 3867907036

Least Common Multiple (LCM) of 62188 and 62197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62188 and 62197. First we will calculate the prime factors of 62188 and 62197.

Prime Factorization of 62188

Prime factors of 62188 are 2, 7, 2221. Prime factorization of 62188 in exponential form is:

62188 = 22 × 71 × 22211

Prime Factorization of 62197

Prime factors of 62197 are 37, 41. Prime factorization of 62197 in exponential form is:

62197 = 371 × 412

Now multiplying the highest exponent prime factors to calculate the LCM of 62188 and 62197.

LCM(62188,62197) = 22 × 71 × 22211 × 371 × 412
LCM(62188,62197) = 3867907036