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What is the Least Common Multiple of 49079 and 49091?

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 49079 and 49091 is 2409337189.

LCM(49079,49091) = 2409337189

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Least Common Multiple of 49079 and 49091 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49079 and 49091, than apply into the LCM equation.

GCF(49079,49091) = 1
LCM(49079,49091) = ( 49079 × 49091) / 1
LCM(49079,49091) = 2409337189 / 1
LCM(49079,49091) = 2409337189

Least Common Multiple (LCM) of 49079 and 49091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49079 and 49091. First we will calculate the prime factors of 49079 and 49091.

Prime Factorization of 49079

Prime factors of 49079 are 17, 2887. Prime factorization of 49079 in exponential form is:

49079 = 171 × 28871

Prime Factorization of 49091

Prime factors of 49091 are 7, 7013. Prime factorization of 49091 in exponential form is:

49091 = 71 × 70131

Now multiplying the highest exponent prime factors to calculate the LCM of 49079 and 49091.

LCM(49079,49091) = 171 × 28871 × 71 × 70131
LCM(49079,49091) = 2409337189