What is the Least Common Multiple of 11935 and 11946?
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 11935 and 11946 is 12961410.
LCM(11935,11946) = 12961410
Least Common Multiple of 11935 and 11946 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11935 and 11946, than apply into the LCM equation.
GCF(11935,11946) = 11
LCM(11935,11946) = ( 11935 × 11946) / 11
LCM(11935,11946) = 142575510 / 11
LCM(11935,11946) = 12961410
Least Common Multiple (LCM) of 11935 and 11946 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11935 and 11946. First we will calculate the prime factors of 11935 and 11946.
Prime Factorization of 11935
Prime factors of 11935 are 5, 7, 11, 31. Prime factorization of 11935 in exponential form is:
11935 = 51 × 71 × 111 × 311
Prime Factorization of 11946
Prime factors of 11946 are 2, 3, 11, 181. Prime factorization of 11946 in exponential form is:
11946 = 21 × 31 × 111 × 1811
Now multiplying the highest exponent prime factors to calculate the LCM of 11935 and 11946.
LCM(11935,11946) = 51 × 71 × 111 × 311 × 21 × 31 × 1811
LCM(11935,11946) = 12961410
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