What is the Least Common Multiple of 98871 and 98878?
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 98871 and 98878 is 9776166738.
LCM(98871,98878) = 9776166738
Least Common Multiple of 98871 and 98878 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98871 and 98878, than apply into the LCM equation.
GCF(98871,98878) = 1
LCM(98871,98878) = ( 98871 × 98878) / 1
LCM(98871,98878) = 9776166738 / 1
LCM(98871,98878) = 9776166738
Least Common Multiple (LCM) of 98871 and 98878 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98871 and 98878. First we will calculate the prime factors of 98871 and 98878.
Prime Factorization of 98871
Prime factors of 98871 are 3, 32957. Prime factorization of 98871 in exponential form is:
98871 = 31 × 329571
Prime Factorization of 98878
Prime factors of 98878 are 2, 13, 3803. Prime factorization of 98878 in exponential form is:
98878 = 21 × 131 × 38031
Now multiplying the highest exponent prime factors to calculate the LCM of 98871 and 98878.
LCM(98871,98878) = 31 × 329571 × 21 × 131 × 38031
LCM(98871,98878) = 9776166738
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