What is the Least Common Multiple of 11888 and 11906?
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 11888 and 11906 is 70769264.
LCM(11888,11906) = 70769264
Least Common Multiple of 11888 and 11906 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11888 and 11906, than apply into the LCM equation.
GCF(11888,11906) = 2
LCM(11888,11906) = ( 11888 × 11906) / 2
LCM(11888,11906) = 141538528 / 2
LCM(11888,11906) = 70769264
Least Common Multiple (LCM) of 11888 and 11906 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11888 and 11906. First we will calculate the prime factors of 11888 and 11906.
Prime Factorization of 11888
Prime factors of 11888 are 2, 743. Prime factorization of 11888 in exponential form is:
11888 = 24 × 7431
Prime Factorization of 11906
Prime factors of 11906 are 2, 5953. Prime factorization of 11906 in exponential form is:
11906 = 21 × 59531
Now multiplying the highest exponent prime factors to calculate the LCM of 11888 and 11906.
LCM(11888,11906) = 24 × 7431 × 59531
LCM(11888,11906) = 70769264
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