What is the Least Common Multiple of 77883 and 77898?
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 77883 and 77898 is 2022309978.
LCM(77883,77898) = 2022309978
Least Common Multiple of 77883 and 77898 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77883 and 77898, than apply into the LCM equation.
GCF(77883,77898) = 3
LCM(77883,77898) = ( 77883 × 77898) / 3
LCM(77883,77898) = 6066929934 / 3
LCM(77883,77898) = 2022309978
Least Common Multiple (LCM) of 77883 and 77898 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77883 and 77898. First we will calculate the prime factors of 77883 and 77898.
Prime Factorization of 77883
Prime factors of 77883 are 3, 13, 1997. Prime factorization of 77883 in exponential form is:
77883 = 31 × 131 × 19971
Prime Factorization of 77898
Prime factors of 77898 are 2, 3, 12983. Prime factorization of 77898 in exponential form is:
77898 = 21 × 31 × 129831
Now multiplying the highest exponent prime factors to calculate the LCM of 77883 and 77898.
LCM(77883,77898) = 31 × 131 × 19971 × 21 × 129831
LCM(77883,77898) = 2022309978
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