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What is the Least Common Multiple of 62164 and 62169?

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 62164 and 62169 is 3864673716.

LCM(62164,62169) = 3864673716

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Least Common Multiple of 62164 and 62169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62164 and 62169, than apply into the LCM equation.

GCF(62164,62169) = 1
LCM(62164,62169) = ( 62164 × 62169) / 1
LCM(62164,62169) = 3864673716 / 1
LCM(62164,62169) = 3864673716

Least Common Multiple (LCM) of 62164 and 62169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62164 and 62169. First we will calculate the prime factors of 62164 and 62169.

Prime Factorization of 62164

Prime factors of 62164 are 2, 15541. Prime factorization of 62164 in exponential form is:

62164 = 22 × 155411

Prime Factorization of 62169

Prime factors of 62169 are 3, 17, 23, 53. Prime factorization of 62169 in exponential form is:

62169 = 31 × 171 × 231 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 62164 and 62169.

LCM(62164,62169) = 22 × 155411 × 31 × 171 × 231 × 531
LCM(62164,62169) = 3864673716