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What is the Least Common Multiple of 50098 and 50114?

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 50098 and 50114 is 1255305586.

LCM(50098,50114) = 1255305586

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Least Common Multiple of 50098 and 50114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50098 and 50114, than apply into the LCM equation.

GCF(50098,50114) = 2
LCM(50098,50114) = ( 50098 × 50114) / 2
LCM(50098,50114) = 2510611172 / 2
LCM(50098,50114) = 1255305586

Least Common Multiple (LCM) of 50098 and 50114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50098 and 50114. First we will calculate the prime factors of 50098 and 50114.

Prime Factorization of 50098

Prime factors of 50098 are 2, 37, 677. Prime factorization of 50098 in exponential form is:

50098 = 21 × 371 × 6771

Prime Factorization of 50114

Prime factors of 50114 are 2, 25057. Prime factorization of 50114 in exponential form is:

50114 = 21 × 250571

Now multiplying the highest exponent prime factors to calculate the LCM of 50098 and 50114.

LCM(50098,50114) = 21 × 371 × 6771 × 250571
LCM(50098,50114) = 1255305586