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What is the Least Common Multiple of 49169 and 49186?

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 49169 and 49186 is 2418426434.

LCM(49169,49186) = 2418426434

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Least Common Multiple of 49169 and 49186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49169 and 49186, than apply into the LCM equation.

GCF(49169,49186) = 1
LCM(49169,49186) = ( 49169 × 49186) / 1
LCM(49169,49186) = 2418426434 / 1
LCM(49169,49186) = 2418426434

Least Common Multiple (LCM) of 49169 and 49186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49169 and 49186. First we will calculate the prime factors of 49169 and 49186.

Prime Factorization of 49169

Prime factors of 49169 are 49169. Prime factorization of 49169 in exponential form is:

49169 = 491691

Prime Factorization of 49186

Prime factors of 49186 are 2, 24593. Prime factorization of 49186 in exponential form is:

49186 = 21 × 245931

Now multiplying the highest exponent prime factors to calculate the LCM of 49169 and 49186.

LCM(49169,49186) = 491691 × 21 × 245931
LCM(49169,49186) = 2418426434