What is the Least Common Multiple of 12371 and 12387?
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 12371 and 12387 is 153239577.
LCM(12371,12387) = 153239577
Least Common Multiple of 12371 and 12387 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12371 and 12387, than apply into the LCM equation.
GCF(12371,12387) = 1
LCM(12371,12387) = ( 12371 × 12387) / 1
LCM(12371,12387) = 153239577 / 1
LCM(12371,12387) = 153239577
Least Common Multiple (LCM) of 12371 and 12387 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12371 and 12387. First we will calculate the prime factors of 12371 and 12387.
Prime Factorization of 12371
Prime factors of 12371 are 89, 139. Prime factorization of 12371 in exponential form is:
12371 = 891 × 1391
Prime Factorization of 12387
Prime factors of 12387 are 3, 4129. Prime factorization of 12387 in exponential form is:
12387 = 31 × 41291
Now multiplying the highest exponent prime factors to calculate the LCM of 12371 and 12387.
LCM(12371,12387) = 891 × 1391 × 31 × 41291
LCM(12371,12387) = 153239577
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