What is the Least Common Multiple of 11653 and 11658?
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 11653 and 11658 is 135850674.
LCM(11653,11658) = 135850674
Least Common Multiple of 11653 and 11658 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11653 and 11658, than apply into the LCM equation.
GCF(11653,11658) = 1
LCM(11653,11658) = ( 11653 × 11658) / 1
LCM(11653,11658) = 135850674 / 1
LCM(11653,11658) = 135850674
Least Common Multiple (LCM) of 11653 and 11658 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11653 and 11658. First we will calculate the prime factors of 11653 and 11658.
Prime Factorization of 11653
Prime factors of 11653 are 43, 271. Prime factorization of 11653 in exponential form is:
11653 = 431 × 2711
Prime Factorization of 11658
Prime factors of 11658 are 2, 3, 29, 67. Prime factorization of 11658 in exponential form is:
11658 = 21 × 31 × 291 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 11653 and 11658.
LCM(11653,11658) = 431 × 2711 × 21 × 31 × 291 × 671
LCM(11653,11658) = 135850674
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