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What is the Least Common Multiple of 62167 and 62179?

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 62167 and 62179 is 3865481893.

LCM(62167,62179) = 3865481893

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Least Common Multiple of 62167 and 62179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62167 and 62179, than apply into the LCM equation.

GCF(62167,62179) = 1
LCM(62167,62179) = ( 62167 × 62179) / 1
LCM(62167,62179) = 3865481893 / 1
LCM(62167,62179) = 3865481893

Least Common Multiple (LCM) of 62167 and 62179 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62167 and 62179. First we will calculate the prime factors of 62167 and 62179.

Prime Factorization of 62167

Prime factors of 62167 are 7, 83, 107. Prime factorization of 62167 in exponential form is:

62167 = 71 × 831 × 1071

Prime Factorization of 62179

Prime factors of 62179 are 13, 4783. Prime factorization of 62179 in exponential form is:

62179 = 131 × 47831

Now multiplying the highest exponent prime factors to calculate the LCM of 62167 and 62179.

LCM(62167,62179) = 71 × 831 × 1071 × 131 × 47831
LCM(62167,62179) = 3865481893