What is the Least Common Multiple of 11954 and 11974?
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 11954 and 11974 is 71568598.
LCM(11954,11974) = 71568598
Least Common Multiple of 11954 and 11974 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11954 and 11974, than apply into the LCM equation.
GCF(11954,11974) = 2
LCM(11954,11974) = ( 11954 × 11974) / 2
LCM(11954,11974) = 143137196 / 2
LCM(11954,11974) = 71568598
Least Common Multiple (LCM) of 11954 and 11974 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11954 and 11974. First we will calculate the prime factors of 11954 and 11974.
Prime Factorization of 11954
Prime factors of 11954 are 2, 43, 139. Prime factorization of 11954 in exponential form is:
11954 = 21 × 431 × 1391
Prime Factorization of 11974
Prime factors of 11974 are 2, 5987. Prime factorization of 11974 in exponential form is:
11974 = 21 × 59871
Now multiplying the highest exponent prime factors to calculate the LCM of 11954 and 11974.
LCM(11954,11974) = 21 × 431 × 1391 × 59871
LCM(11954,11974) = 71568598
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