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What is the Least Common Multiple of 7707 and 7713?

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 7707 and 7713 is 19814697.

LCM(7707,7713) = 19814697

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Least Common Multiple of 7707 and 7713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7707 and 7713, than apply into the LCM equation.

GCF(7707,7713) = 3
LCM(7707,7713) = ( 7707 × 7713) / 3
LCM(7707,7713) = 59444091 / 3
LCM(7707,7713) = 19814697

Least Common Multiple (LCM) of 7707 and 7713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7707 and 7713. First we will calculate the prime factors of 7707 and 7713.

Prime Factorization of 7707

Prime factors of 7707 are 3, 7, 367. Prime factorization of 7707 in exponential form is:

7707 = 31 × 71 × 3671

Prime Factorization of 7713

Prime factors of 7713 are 3, 857. Prime factorization of 7713 in exponential form is:

7713 = 32 × 8571

Now multiplying the highest exponent prime factors to calculate the LCM of 7707 and 7713.

LCM(7707,7713) = 32 × 71 × 3671 × 8571
LCM(7707,7713) = 19814697