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What is the Least Common Multiple of 7700 and 7709?

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 7700 and 7709 is 59359300.

LCM(7700,7709) = 59359300

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Least Common Multiple of 7700 and 7709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7700 and 7709, than apply into the LCM equation.

GCF(7700,7709) = 1
LCM(7700,7709) = ( 7700 × 7709) / 1
LCM(7700,7709) = 59359300 / 1
LCM(7700,7709) = 59359300

Least Common Multiple (LCM) of 7700 and 7709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7700 and 7709. First we will calculate the prime factors of 7700 and 7709.

Prime Factorization of 7700

Prime factors of 7700 are 2, 5, 7, 11. Prime factorization of 7700 in exponential form is:

7700 = 22 × 52 × 71 × 111

Prime Factorization of 7709

Prime factors of 7709 are 13, 593. Prime factorization of 7709 in exponential form is:

7709 = 131 × 5931

Now multiplying the highest exponent prime factors to calculate the LCM of 7700 and 7709.

LCM(7700,7709) = 22 × 52 × 71 × 111 × 131 × 5931
LCM(7700,7709) = 59359300