What is the Least Common Multiple of 98877 and 98881?
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 98877 and 98881 is 9777056637.
LCM(98877,98881) = 9777056637
Least Common Multiple of 98877 and 98881 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98877 and 98881, than apply into the LCM equation.
GCF(98877,98881) = 1
LCM(98877,98881) = ( 98877 × 98881) / 1
LCM(98877,98881) = 9777056637 / 1
LCM(98877,98881) = 9777056637
Least Common Multiple (LCM) of 98877 and 98881 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98877 and 98881. First we will calculate the prime factors of 98877 and 98881.
Prime Factorization of 98877
Prime factors of 98877 are 3, 23, 1433. Prime factorization of 98877 in exponential form is:
98877 = 31 × 231 × 14331
Prime Factorization of 98881
Prime factors of 98881 are 61, 1621. Prime factorization of 98881 in exponential form is:
98881 = 611 × 16211
Now multiplying the highest exponent prime factors to calculate the LCM of 98877 and 98881.
LCM(98877,98881) = 31 × 231 × 14331 × 611 × 16211
LCM(98877,98881) = 9777056637
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