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What is the Least Common Multiple of 91690 and 91709?

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 91690 and 91709 is 8408798210.

LCM(91690,91709) = 8408798210

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Least Common Multiple of 91690 and 91709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91690 and 91709, than apply into the LCM equation.

GCF(91690,91709) = 1
LCM(91690,91709) = ( 91690 × 91709) / 1
LCM(91690,91709) = 8408798210 / 1
LCM(91690,91709) = 8408798210

Least Common Multiple (LCM) of 91690 and 91709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91690 and 91709. First we will calculate the prime factors of 91690 and 91709.

Prime Factorization of 91690

Prime factors of 91690 are 2, 5, 53, 173. Prime factorization of 91690 in exponential form is:

91690 = 21 × 51 × 531 × 1731

Prime Factorization of 91709

Prime factors of 91709 are 293, 313. Prime factorization of 91709 in exponential form is:

91709 = 2931 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 91690 and 91709.

LCM(91690,91709) = 21 × 51 × 531 × 1731 × 2931 × 3131
LCM(91690,91709) = 8408798210