What is the Least Common Multiple of 76868 and 76884?
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 76868 and 76884 is 1477479828.
LCM(76868,76884) = 1477479828
Least Common Multiple of 76868 and 76884 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76868 and 76884, than apply into the LCM equation.
GCF(76868,76884) = 4
LCM(76868,76884) = ( 76868 × 76884) / 4
LCM(76868,76884) = 5909919312 / 4
LCM(76868,76884) = 1477479828
Least Common Multiple (LCM) of 76868 and 76884 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76868 and 76884. First we will calculate the prime factors of 76868 and 76884.
Prime Factorization of 76868
Prime factors of 76868 are 2, 11, 1747. Prime factorization of 76868 in exponential form is:
76868 = 22 × 111 × 17471
Prime Factorization of 76884
Prime factors of 76884 are 2, 3, 43, 149. Prime factorization of 76884 in exponential form is:
76884 = 22 × 31 × 431 × 1491
Now multiplying the highest exponent prime factors to calculate the LCM of 76868 and 76884.
LCM(76868,76884) = 22 × 111 × 17471 × 31 × 431 × 1491
LCM(76868,76884) = 1477479828
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