What is the Least Common Multiple of 12038 and 12053?
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 12038 and 12053 is 145094014.
LCM(12038,12053) = 145094014
Least Common Multiple of 12038 and 12053 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12038 and 12053, than apply into the LCM equation.
GCF(12038,12053) = 1
LCM(12038,12053) = ( 12038 × 12053) / 1
LCM(12038,12053) = 145094014 / 1
LCM(12038,12053) = 145094014
Least Common Multiple (LCM) of 12038 and 12053 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 12038 and 12053. First we will calculate the prime factors of 12038 and 12053.
Prime Factorization of 12038
Prime factors of 12038 are 2, 13, 463. Prime factorization of 12038 in exponential form is:
12038 = 21 × 131 × 4631
Prime Factorization of 12053
Prime factors of 12053 are 17, 709. Prime factorization of 12053 in exponential form is:
12053 = 171 × 7091
Now multiplying the highest exponent prime factors to calculate the LCM of 12038 and 12053.
LCM(12038,12053) = 21 × 131 × 4631 × 171 × 7091
LCM(12038,12053) = 145094014
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