What is the Least Common Multiple of 11931 and 11951?
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 11931 and 11951 is 142587381.
LCM(11931,11951) = 142587381
Least Common Multiple of 11931 and 11951 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11931 and 11951, than apply into the LCM equation.
GCF(11931,11951) = 1
LCM(11931,11951) = ( 11931 × 11951) / 1
LCM(11931,11951) = 142587381 / 1
LCM(11931,11951) = 142587381
Least Common Multiple (LCM) of 11931 and 11951 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11931 and 11951. First we will calculate the prime factors of 11931 and 11951.
Prime Factorization of 11931
Prime factors of 11931 are 3, 41, 97. Prime factorization of 11931 in exponential form is:
11931 = 31 × 411 × 971
Prime Factorization of 11951
Prime factors of 11951 are 17, 19, 37. Prime factorization of 11951 in exponential form is:
11951 = 171 × 191 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 11931 and 11951.
LCM(11931,11951) = 31 × 411 × 971 × 171 × 191 × 371
LCM(11931,11951) = 142587381
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