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What is the Least Common Multiple of 49157 and 49169?

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 49157 and 49169 is 2417000533.

LCM(49157,49169) = 2417000533

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Least Common Multiple of 49157 and 49169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49157 and 49169, than apply into the LCM equation.

GCF(49157,49169) = 1
LCM(49157,49169) = ( 49157 × 49169) / 1
LCM(49157,49169) = 2417000533 / 1
LCM(49157,49169) = 2417000533

Least Common Multiple (LCM) of 49157 and 49169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49157 and 49169. First we will calculate the prime factors of 49157 and 49169.

Prime Factorization of 49157

Prime factors of 49157 are 49157. Prime factorization of 49157 in exponential form is:

49157 = 491571

Prime Factorization of 49169

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

49169 = 491691

Now multiplying the highest exponent prime factors to calculate the LCM of 49157 and 49169.

LCM(49157,49169) = 491571 × 491691
LCM(49157,49169) = 2417000533