What is the Least Common Multiple of 11907 and 11927?
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 11907 and 11927 is 142014789.
LCM(11907,11927) = 142014789
Least Common Multiple of 11907 and 11927 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11907 and 11927, than apply into the LCM equation.
GCF(11907,11927) = 1
LCM(11907,11927) = ( 11907 × 11927) / 1
LCM(11907,11927) = 142014789 / 1
LCM(11907,11927) = 142014789
Least Common Multiple (LCM) of 11907 and 11927 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11907 and 11927. First we will calculate the prime factors of 11907 and 11927.
Prime Factorization of 11907
Prime factors of 11907 are 3, 7. Prime factorization of 11907 in exponential form is:
11907 = 35 × 72
Prime Factorization of 11927
Prime factors of 11927 are 11927. Prime factorization of 11927 in exponential form is:
11927 = 119271
Now multiplying the highest exponent prime factors to calculate the LCM of 11907 and 11927.
LCM(11907,11927) = 35 × 72 × 119271
LCM(11907,11927) = 142014789
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