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What is the Least Common Multiple of 78673 and 78682?

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 78673 and 78682 is 6190148986.

LCM(78673,78682) = 6190148986

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Least Common Multiple of 78673 and 78682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78673 and 78682, than apply into the LCM equation.

GCF(78673,78682) = 1
LCM(78673,78682) = ( 78673 × 78682) / 1
LCM(78673,78682) = 6190148986 / 1
LCM(78673,78682) = 6190148986

Least Common Multiple (LCM) of 78673 and 78682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78673 and 78682. First we will calculate the prime factors of 78673 and 78682.

Prime Factorization of 78673

Prime factors of 78673 are 7, 11239. Prime factorization of 78673 in exponential form is:

78673 = 71 × 112391

Prime Factorization of 78682

Prime factors of 78682 are 2, 39341. Prime factorization of 78682 in exponential form is:

78682 = 21 × 393411

Now multiplying the highest exponent prime factors to calculate the LCM of 78673 and 78682.

LCM(78673,78682) = 71 × 112391 × 21 × 393411
LCM(78673,78682) = 6190148986