What is the Least Common Multiple of 12046 and 12058?
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 12046 and 12058 is 72625334.
LCM(12046,12058) = 72625334
Least Common Multiple of 12046 and 12058 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12046 and 12058, than apply into the LCM equation.
GCF(12046,12058) = 2
LCM(12046,12058) = ( 12046 × 12058) / 2
LCM(12046,12058) = 145250668 / 2
LCM(12046,12058) = 72625334
Least Common Multiple (LCM) of 12046 and 12058 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12046 and 12058. First we will calculate the prime factors of 12046 and 12058.
Prime Factorization of 12046
Prime factors of 12046 are 2, 19, 317. Prime factorization of 12046 in exponential form is:
12046 = 21 × 191 × 3171
Prime Factorization of 12058
Prime factors of 12058 are 2, 6029. Prime factorization of 12058 in exponential form is:
12058 = 21 × 60291
Now multiplying the highest exponent prime factors to calculate the LCM of 12046 and 12058.
LCM(12046,12058) = 21 × 191 × 3171 × 60291
LCM(12046,12058) = 72625334
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