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What is the Least Common Multiple of 11703 and 11715?

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 11703 and 11715 is 45700215.

LCM(11703,11715) = 45700215

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Least Common Multiple of 11703 and 11715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11703 and 11715, than apply into the LCM equation.

GCF(11703,11715) = 3
LCM(11703,11715) = ( 11703 × 11715) / 3
LCM(11703,11715) = 137100645 / 3
LCM(11703,11715) = 45700215

Least Common Multiple (LCM) of 11703 and 11715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11703 and 11715. First we will calculate the prime factors of 11703 and 11715.

Prime Factorization of 11703

Prime factors of 11703 are 3, 47, 83. Prime factorization of 11703 in exponential form is:

11703 = 31 × 471 × 831

Prime Factorization of 11715

Prime factors of 11715 are 3, 5, 11, 71. Prime factorization of 11715 in exponential form is:

11715 = 31 × 51 × 111 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 11703 and 11715.

LCM(11703,11715) = 31 × 471 × 831 × 51 × 111 × 711
LCM(11703,11715) = 45700215