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What is the Least Common Multiple of 7690 and 7698?

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 7690 and 7698 is 29598810.

LCM(7690,7698) = 29598810

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Least Common Multiple of 7690 and 7698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7690 and 7698, than apply into the LCM equation.

GCF(7690,7698) = 2
LCM(7690,7698) = ( 7690 × 7698) / 2
LCM(7690,7698) = 59197620 / 2
LCM(7690,7698) = 29598810

Least Common Multiple (LCM) of 7690 and 7698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7690 and 7698. First we will calculate the prime factors of 7690 and 7698.

Prime Factorization of 7690

Prime factors of 7690 are 2, 5, 769. Prime factorization of 7690 in exponential form is:

7690 = 21 × 51 × 7691

Prime Factorization of 7698

Prime factors of 7698 are 2, 3, 1283. Prime factorization of 7698 in exponential form is:

7698 = 21 × 31 × 12831

Now multiplying the highest exponent prime factors to calculate the LCM of 7690 and 7698.

LCM(7690,7698) = 21 × 51 × 7691 × 31 × 12831
LCM(7690,7698) = 29598810