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What is the Least Common Multiple of 68982 and 68986?

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 68982 and 68986 is 2379396126.

LCM(68982,68986) = 2379396126

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Least Common Multiple of 68982 and 68986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68982 and 68986, than apply into the LCM equation.

GCF(68982,68986) = 2
LCM(68982,68986) = ( 68982 × 68986) / 2
LCM(68982,68986) = 4758792252 / 2
LCM(68982,68986) = 2379396126

Least Common Multiple (LCM) of 68982 and 68986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68982 and 68986. First we will calculate the prime factors of 68982 and 68986.

Prime Factorization of 68982

Prime factors of 68982 are 2, 3, 11497. Prime factorization of 68982 in exponential form is:

68982 = 21 × 31 × 114971

Prime Factorization of 68986

Prime factors of 68986 are 2, 17, 2029. Prime factorization of 68986 in exponential form is:

68986 = 21 × 171 × 20291

Now multiplying the highest exponent prime factors to calculate the LCM of 68982 and 68986.

LCM(68982,68986) = 21 × 31 × 114971 × 171 × 20291
LCM(68982,68986) = 2379396126