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What is the Least Common Multiple of 98062 and 98078?

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 98062 and 98078 is 4808862418.

LCM(98062,98078) = 4808862418

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Least Common Multiple of 98062 and 98078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98062 and 98078, than apply into the LCM equation.

GCF(98062,98078) = 2
LCM(98062,98078) = ( 98062 × 98078) / 2
LCM(98062,98078) = 9617724836 / 2
LCM(98062,98078) = 4808862418

Least Common Multiple (LCM) of 98062 and 98078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98062 and 98078. First we will calculate the prime factors of 98062 and 98078.

Prime Factorization of 98062

Prime factors of 98062 are 2, 49031. Prime factorization of 98062 in exponential form is:

98062 = 21 × 490311

Prime Factorization of 98078

Prime factors of 98078 are 2, 19, 29, 89. Prime factorization of 98078 in exponential form is:

98078 = 21 × 191 × 291 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 98062 and 98078.

LCM(98062,98078) = 21 × 490311 × 191 × 291 × 891
LCM(98062,98078) = 4808862418