What is the Least Common Multiple of 77873 and 77883?
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 77873 and 77883 is 6064982859.
LCM(77873,77883) = 6064982859
Least Common Multiple of 77873 and 77883 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77873 and 77883, than apply into the LCM equation.
GCF(77873,77883) = 1
LCM(77873,77883) = ( 77873 × 77883) / 1
LCM(77873,77883) = 6064982859 / 1
LCM(77873,77883) = 6064982859
Least Common Multiple (LCM) of 77873 and 77883 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77873 and 77883. First we will calculate the prime factors of 77873 and 77883.
Prime Factorization of 77873
Prime factors of 77873 are 43, 1811. Prime factorization of 77873 in exponential form is:
77873 = 431 × 18111
Prime Factorization of 77883
Prime factors of 77883 are 3, 13, 1997. Prime factorization of 77883 in exponential form is:
77883 = 31 × 131 × 19971
Now multiplying the highest exponent prime factors to calculate the LCM of 77873 and 77883.
LCM(77873,77883) = 431 × 18111 × 31 × 131 × 19971
LCM(77873,77883) = 6064982859
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