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What is the Least Common Multiple of 49167 and 49174?

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 49167 and 49174 is 2417738058.

LCM(49167,49174) = 2417738058

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Least Common Multiple of 49167 and 49174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49167 and 49174, than apply into the LCM equation.

GCF(49167,49174) = 1
LCM(49167,49174) = ( 49167 × 49174) / 1
LCM(49167,49174) = 2417738058 / 1
LCM(49167,49174) = 2417738058

Least Common Multiple (LCM) of 49167 and 49174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49167 and 49174. First we will calculate the prime factors of 49167 and 49174.

Prime Factorization of 49167

Prime factors of 49167 are 3, 607. Prime factorization of 49167 in exponential form is:

49167 = 34 × 6071

Prime Factorization of 49174

Prime factors of 49174 are 2, 23, 1069. Prime factorization of 49174 in exponential form is:

49174 = 21 × 231 × 10691

Now multiplying the highest exponent prime factors to calculate the LCM of 49167 and 49174.

LCM(49167,49174) = 34 × 6071 × 21 × 231 × 10691
LCM(49167,49174) = 2417738058