What is the Least Common Multiple of 27866 and 27877?
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 27866 and 27877 is 776820482.
LCM(27866,27877) = 776820482
Least Common Multiple of 27866 and 27877 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27866 and 27877, than apply into the LCM equation.
GCF(27866,27877) = 1
LCM(27866,27877) = ( 27866 × 27877) / 1
LCM(27866,27877) = 776820482 / 1
LCM(27866,27877) = 776820482
Least Common Multiple (LCM) of 27866 and 27877 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 27866 and 27877. First we will calculate the prime factors of 27866 and 27877.
Prime Factorization of 27866
Prime factors of 27866 are 2, 13933. Prime factorization of 27866 in exponential form is:
27866 = 21 × 139331
Prime Factorization of 27877
Prime factors of 27877 are 61, 457. Prime factorization of 27877 in exponential form is:
27877 = 611 × 4571
Now multiplying the highest exponent prime factors to calculate the LCM of 27866 and 27877.
LCM(27866,27877) = 21 × 139331 × 611 × 4571
LCM(27866,27877) = 776820482
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Related Least Common Multiples of 27877
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