What is the Least Common Multiple of 9880 and 9899?
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 9880 and 9899 is 5147480.
LCM(9880,9899) = 5147480
Least Common Multiple of 9880 and 9899 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9880 and 9899, than apply into the LCM equation.
GCF(9880,9899) = 19
LCM(9880,9899) = ( 9880 × 9899) / 19
LCM(9880,9899) = 97802120 / 19
LCM(9880,9899) = 5147480
Least Common Multiple (LCM) of 9880 and 9899 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9880 and 9899. First we will calculate the prime factors of 9880 and 9899.
Prime Factorization of 9880
Prime factors of 9880 are 2, 5, 13, 19. Prime factorization of 9880 in exponential form is:
9880 = 23 × 51 × 131 × 191
Prime Factorization of 9899
Prime factors of 9899 are 19, 521. Prime factorization of 9899 in exponential form is:
9899 = 191 × 5211
Now multiplying the highest exponent prime factors to calculate the LCM of 9880 and 9899.
LCM(9880,9899) = 23 × 51 × 131 × 191 × 5211
LCM(9880,9899) = 5147480
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