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What is the Least Common Multiple of 62156 and 62163?

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 62156 and 62163 is 3863803428.

LCM(62156,62163) = 3863803428

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Least Common Multiple of 62156 and 62163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62156 and 62163, than apply into the LCM equation.

GCF(62156,62163) = 1
LCM(62156,62163) = ( 62156 × 62163) / 1
LCM(62156,62163) = 3863803428 / 1
LCM(62156,62163) = 3863803428

Least Common Multiple (LCM) of 62156 and 62163 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62156 and 62163. First we will calculate the prime factors of 62156 and 62163.

Prime Factorization of 62156

Prime factors of 62156 are 2, 41, 379. Prime factorization of 62156 in exponential form is:

62156 = 22 × 411 × 3791

Prime Factorization of 62163

Prime factors of 62163 are 3, 6907. Prime factorization of 62163 in exponential form is:

62163 = 32 × 69071

Now multiplying the highest exponent prime factors to calculate the LCM of 62156 and 62163.

LCM(62156,62163) = 22 × 411 × 3791 × 32 × 69071
LCM(62156,62163) = 3863803428