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What is the Least Common Multiple of 78691 and 78711?

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 78691 and 78711 is 6193847301.

LCM(78691,78711) = 6193847301

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Least Common Multiple of 78691 and 78711 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78691 and 78711, than apply into the LCM equation.

GCF(78691,78711) = 1
LCM(78691,78711) = ( 78691 × 78711) / 1
LCM(78691,78711) = 6193847301 / 1
LCM(78691,78711) = 6193847301

Least Common Multiple (LCM) of 78691 and 78711 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78691 and 78711. First we will calculate the prime factors of 78691 and 78711.

Prime Factorization of 78691

Prime factors of 78691 are 78691. Prime factorization of 78691 in exponential form is:

78691 = 786911

Prime Factorization of 78711

Prime factors of 78711 are 3, 26237. Prime factorization of 78711 in exponential form is:

78711 = 31 × 262371

Now multiplying the highest exponent prime factors to calculate the LCM of 78691 and 78711.

LCM(78691,78711) = 786911 × 31 × 262371
LCM(78691,78711) = 6193847301