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What is the Least Common Multiple of 62195 and 62206?

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 62195 and 62206 is 3868902170.

LCM(62195,62206) = 3868902170

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Least Common Multiple of 62195 and 62206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62195 and 62206, than apply into the LCM equation.

GCF(62195,62206) = 1
LCM(62195,62206) = ( 62195 × 62206) / 1
LCM(62195,62206) = 3868902170 / 1
LCM(62195,62206) = 3868902170

Least Common Multiple (LCM) of 62195 and 62206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62195 and 62206. First we will calculate the prime factors of 62195 and 62206.

Prime Factorization of 62195

Prime factors of 62195 are 5, 7, 1777. Prime factorization of 62195 in exponential form is:

62195 = 51 × 71 × 17771

Prime Factorization of 62206

Prime factors of 62206 are 2, 19, 1637. Prime factorization of 62206 in exponential form is:

62206 = 21 × 191 × 16371

Now multiplying the highest exponent prime factors to calculate the LCM of 62195 and 62206.

LCM(62195,62206) = 51 × 71 × 17771 × 21 × 191 × 16371
LCM(62195,62206) = 3868902170