What is the Least Common Multiple of 11997 and 12010?
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 11997 and 12010 is 144083970.
LCM(11997,12010) = 144083970
Least Common Multiple of 11997 and 12010 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11997 and 12010, than apply into the LCM equation.
GCF(11997,12010) = 1
LCM(11997,12010) = ( 11997 × 12010) / 1
LCM(11997,12010) = 144083970 / 1
LCM(11997,12010) = 144083970
Least Common Multiple (LCM) of 11997 and 12010 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11997 and 12010. First we will calculate the prime factors of 11997 and 12010.
Prime Factorization of 11997
Prime factors of 11997 are 3, 31, 43. Prime factorization of 11997 in exponential form is:
11997 = 32 × 311 × 431
Prime Factorization of 12010
Prime factors of 12010 are 2, 5, 1201. Prime factorization of 12010 in exponential form is:
12010 = 21 × 51 × 12011
Now multiplying the highest exponent prime factors to calculate the LCM of 11997 and 12010.
LCM(11997,12010) = 32 × 311 × 431 × 21 × 51 × 12011
LCM(11997,12010) = 144083970
Related Least Common Multiples of 11997
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Related Least Common Multiples of 12010
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