What is the Least Common Multiple of 12037 and 12055?
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 12055 is 145106035.
LCM(12037,12055) = 145106035
Least Common Multiple of 12037 and 12055 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 12055, than apply into the LCM equation.
GCF(12037,12055) = 1
LCM(12037,12055) = ( 12037 × 12055) / 1
LCM(12037,12055) = 145106035 / 1
LCM(12037,12055) = 145106035
Least Common Multiple (LCM) of 12037 and 12055 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12037 and 12055. First we will calculate the prime factors of 12037 and 12055.
Prime Factorization of 12037
Prime factors of 12037 are 12037. Prime factorization of 12037 in exponential form is:
12037 = 120371
Prime Factorization of 12055
Prime factors of 12055 are 5, 2411. Prime factorization of 12055 in exponential form is:
12055 = 51 × 24111
Now multiplying the highest exponent prime factors to calculate the LCM of 12037 and 12055.
LCM(12037,12055) = 120371 × 51 × 24111
LCM(12037,12055) = 145106035
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