What is the Least Common Multiple of 66869 and 66880?
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 66880 is 406563520.
LCM(66869,66880) = 406563520
Least Common Multiple of 66869 and 66880 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 66880, than apply into the LCM equation.
GCF(66869,66880) = 11
LCM(66869,66880) = ( 66869 × 66880) / 11
LCM(66869,66880) = 4472198720 / 11
LCM(66869,66880) = 406563520
Least Common Multiple (LCM) of 66869 and 66880 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66869 and 66880. First we will calculate the prime factors of 66869 and 66880.
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 66880
Prime factors of 66880 are 2, 5, 11, 19. Prime factorization of 66880 in exponential form is:
66880 = 26 × 51 × 111 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 66869 and 66880.
LCM(66869,66880) = 111 × 60791 × 26 × 51 × 191
LCM(66869,66880) = 406563520
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