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What is the Least Common Multiple of 49094 and 49099?

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 49094 and 49099 is 2410466306.

LCM(49094,49099) = 2410466306

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Least Common Multiple of 49094 and 49099 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49094 and 49099, than apply into the LCM equation.

GCF(49094,49099) = 1
LCM(49094,49099) = ( 49094 × 49099) / 1
LCM(49094,49099) = 2410466306 / 1
LCM(49094,49099) = 2410466306

Least Common Multiple (LCM) of 49094 and 49099 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49094 and 49099. First we will calculate the prime factors of 49094 and 49099.

Prime Factorization of 49094

Prime factors of 49094 are 2, 24547. Prime factorization of 49094 in exponential form is:

49094 = 21 × 245471

Prime Factorization of 49099

Prime factors of 49099 are 37, 1327. Prime factorization of 49099 in exponential form is:

49099 = 371 × 13271

Now multiplying the highest exponent prime factors to calculate the LCM of 49094 and 49099.

LCM(49094,49099) = 21 × 245471 × 371 × 13271
LCM(49094,49099) = 2410466306