What is the Least Common Multiple of 9880 and 9893?
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 9893 is 7518680.
LCM(9880,9893) = 7518680
Least Common Multiple of 9880 and 9893 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 9893, than apply into the LCM equation.
GCF(9880,9893) = 13
LCM(9880,9893) = ( 9880 × 9893) / 13
LCM(9880,9893) = 97742840 / 13
LCM(9880,9893) = 7518680
Least Common Multiple (LCM) of 9880 and 9893 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9880 and 9893. First we will calculate the prime factors of 9880 and 9893.
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 9893
Prime factors of 9893 are 13, 761. Prime factorization of 9893 in exponential form is:
9893 = 131 × 7611
Now multiplying the highest exponent prime factors to calculate the LCM of 9880 and 9893.
LCM(9880,9893) = 23 × 51 × 131 × 191 × 7611
LCM(9880,9893) = 7518680
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