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What is the Least Common Multiple of 9692 and 9710?

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 9692 and 9710 is 47054660.

LCM(9692,9710) = 47054660

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Least Common Multiple of 9692 and 9710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9692 and 9710, than apply into the LCM equation.

GCF(9692,9710) = 2
LCM(9692,9710) = ( 9692 × 9710) / 2
LCM(9692,9710) = 94109320 / 2
LCM(9692,9710) = 47054660

Least Common Multiple (LCM) of 9692 and 9710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9692 and 9710. First we will calculate the prime factors of 9692 and 9710.

Prime Factorization of 9692

Prime factors of 9692 are 2, 2423. Prime factorization of 9692 in exponential form is:

9692 = 22 × 24231

Prime Factorization of 9710

Prime factors of 9710 are 2, 5, 971. Prime factorization of 9710 in exponential form is:

9710 = 21 × 51 × 9711

Now multiplying the highest exponent prime factors to calculate the LCM of 9692 and 9710.

LCM(9692,9710) = 22 × 24231 × 51 × 9711
LCM(9692,9710) = 47054660