What is the Least Common Multiple of 12037 and 12047?
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 12037 and 12047 is 145009739.
LCM(12037,12047) = 145009739
Least Common Multiple of 12037 and 12047 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12037 and 12047, than apply into the LCM equation.
GCF(12037,12047) = 1
LCM(12037,12047) = ( 12037 × 12047) / 1
LCM(12037,12047) = 145009739 / 1
LCM(12037,12047) = 145009739
Least Common Multiple (LCM) of 12037 and 12047 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12037 and 12047. First we will calculate the prime factors of 12037 and 12047.
Prime Factorization of 12037
Prime factors of 12037 are 12037. Prime factorization of 12037 in exponential form is:
12037 = 120371
Prime Factorization of 12047
Prime factors of 12047 are 7, 1721. Prime factorization of 12047 in exponential form is:
12047 = 71 × 17211
Now multiplying the highest exponent prime factors to calculate the LCM of 12037 and 12047.
LCM(12037,12047) = 120371 × 71 × 17211
LCM(12037,12047) = 145009739
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