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What is the Least Common Multiple of 62172 and 62191?

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 62172 and 62191 is 3866538852.

LCM(62172,62191) = 3866538852

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Least Common Multiple of 62172 and 62191 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62172 and 62191, than apply into the LCM equation.

GCF(62172,62191) = 1
LCM(62172,62191) = ( 62172 × 62191) / 1
LCM(62172,62191) = 3866538852 / 1
LCM(62172,62191) = 3866538852

Least Common Multiple (LCM) of 62172 and 62191 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62172 and 62191. First we will calculate the prime factors of 62172 and 62191.

Prime Factorization of 62172

Prime factors of 62172 are 2, 3, 11, 157. Prime factorization of 62172 in exponential form is:

62172 = 22 × 32 × 111 × 1571

Prime Factorization of 62191

Prime factors of 62191 are 62191. Prime factorization of 62191 in exponential form is:

62191 = 621911

Now multiplying the highest exponent prime factors to calculate the LCM of 62172 and 62191.

LCM(62172,62191) = 22 × 32 × 111 × 1571 × 621911
LCM(62172,62191) = 3866538852