What is the Least Common Multiple of 66873 and 66879?
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 66873 and 66879 is 1490799789.
LCM(66873,66879) = 1490799789
Least Common Multiple of 66873 and 66879 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66873 and 66879, than apply into the LCM equation.
GCF(66873,66879) = 3
LCM(66873,66879) = ( 66873 × 66879) / 3
LCM(66873,66879) = 4472399367 / 3
LCM(66873,66879) = 1490799789
Least Common Multiple (LCM) of 66873 and 66879 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66873 and 66879. First we will calculate the prime factors of 66873 and 66879.
Prime Factorization of 66873
Prime factors of 66873 are 3, 22291. Prime factorization of 66873 in exponential form is:
66873 = 31 × 222911
Prime Factorization of 66879
Prime factors of 66879 are 3, 2477. Prime factorization of 66879 in exponential form is:
66879 = 33 × 24771
Now multiplying the highest exponent prime factors to calculate the LCM of 66873 and 66879.
LCM(66873,66879) = 33 × 222911 × 24771
LCM(66873,66879) = 1490799789
Related Least Common Multiples of 66873
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Related Least Common Multiples of 66879
- LCM of 66879 and 66883
- LCM of 66879 and 66884
- LCM of 66879 and 66885
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- LCM of 66879 and 66889
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