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What is the Least Common Multiple of 78062 and 78069?

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 78062 and 78069 is 6094222278.

LCM(78062,78069) = 6094222278

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Least Common Multiple of 78062 and 78069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78062 and 78069, than apply into the LCM equation.

GCF(78062,78069) = 1
LCM(78062,78069) = ( 78062 × 78069) / 1
LCM(78062,78069) = 6094222278 / 1
LCM(78062,78069) = 6094222278

Least Common Multiple (LCM) of 78062 and 78069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78062 and 78069. First we will calculate the prime factors of 78062 and 78069.

Prime Factorization of 78062

Prime factors of 78062 are 2, 23, 1697. Prime factorization of 78062 in exponential form is:

78062 = 21 × 231 × 16971

Prime Factorization of 78069

Prime factors of 78069 are 3, 53, 491. Prime factorization of 78069 in exponential form is:

78069 = 31 × 531 × 4911

Now multiplying the highest exponent prime factors to calculate the LCM of 78062 and 78069.

LCM(78062,78069) = 21 × 231 × 16971 × 31 × 531 × 4911
LCM(78062,78069) = 6094222278