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What is the Least Common Multiple of 68982 and 69000?

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 69000 is 793293000.

LCM(68982,69000) = 793293000

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Least Common Multiple of 68982 and 69000 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 69000, than apply into the LCM equation.

GCF(68982,69000) = 6
LCM(68982,69000) = ( 68982 × 69000) / 6
LCM(68982,69000) = 4759758000 / 6
LCM(68982,69000) = 793293000

Least Common Multiple (LCM) of 68982 and 69000 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68982 and 69000. First we will calculate the prime factors of 68982 and 69000.

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 69000

Prime factors of 69000 are 2, 3, 5, 23. Prime factorization of 69000 in exponential form is:

69000 = 23 × 31 × 53 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 68982 and 69000.

LCM(68982,69000) = 23 × 31 × 114971 × 53 × 231
LCM(68982,69000) = 793293000