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What is the Least Common Multiple of 11607 and 11620?

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 11607 and 11620 is 134873340.

LCM(11607,11620) = 134873340

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Least Common Multiple of 11607 and 11620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11607 and 11620, than apply into the LCM equation.

GCF(11607,11620) = 1
LCM(11607,11620) = ( 11607 × 11620) / 1
LCM(11607,11620) = 134873340 / 1
LCM(11607,11620) = 134873340

Least Common Multiple (LCM) of 11607 and 11620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11607 and 11620. First we will calculate the prime factors of 11607 and 11620.

Prime Factorization of 11607

Prime factors of 11607 are 3, 53, 73. Prime factorization of 11607 in exponential form is:

11607 = 31 × 531 × 731

Prime Factorization of 11620

Prime factors of 11620 are 2, 5, 7, 83. Prime factorization of 11620 in exponential form is:

11620 = 22 × 51 × 71 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 11607 and 11620.

LCM(11607,11620) = 31 × 531 × 731 × 22 × 51 × 71 × 831
LCM(11607,11620) = 134873340