What is the Least Common Multiple of 66869 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 66869 and 66879 is 4472131851.
LCM(66869,66879) = 4472131851
Least Common Multiple of 66869 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 66869 and 66879, than apply into the LCM equation.
GCF(66869,66879) = 1
LCM(66869,66879) = ( 66869 × 66879) / 1
LCM(66869,66879) = 4472131851 / 1
LCM(66869,66879) = 4472131851
Least Common Multiple (LCM) of 66869 and 66879 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66869 and 66879. First we will calculate the prime factors of 66869 and 66879.
Prime Factorization of 66869
Prime factors of 66869 are 11, 6079. Prime factorization of 66869 in exponential form is:
66869 = 111 × 60791
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 66869 and 66879.
LCM(66869,66879) = 111 × 60791 × 33 × 24771
LCM(66869,66879) = 4472131851
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