What is the Least Common Multiple of 11619 and 11634?
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 11619 and 11634 is 45058482.
LCM(11619,11634) = 45058482
Least Common Multiple of 11619 and 11634 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11619 and 11634, than apply into the LCM equation.
GCF(11619,11634) = 3
LCM(11619,11634) = ( 11619 × 11634) / 3
LCM(11619,11634) = 135175446 / 3
LCM(11619,11634) = 45058482
Least Common Multiple (LCM) of 11619 and 11634 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11619 and 11634. First we will calculate the prime factors of 11619 and 11634.
Prime Factorization of 11619
Prime factors of 11619 are 3, 1291. Prime factorization of 11619 in exponential form is:
11619 = 32 × 12911
Prime Factorization of 11634
Prime factors of 11634 are 2, 3, 7, 277. Prime factorization of 11634 in exponential form is:
11634 = 21 × 31 × 71 × 2771
Now multiplying the highest exponent prime factors to calculate the LCM of 11619 and 11634.
LCM(11619,11634) = 32 × 12911 × 21 × 71 × 2771
LCM(11619,11634) = 45058482
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