What is the Least Common Multiple of 98011 and 98030?
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 98011 and 98030 is 9608018330.
LCM(98011,98030) = 9608018330
Least Common Multiple of 98011 and 98030 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98011 and 98030, than apply into the LCM equation.
GCF(98011,98030) = 1
LCM(98011,98030) = ( 98011 × 98030) / 1
LCM(98011,98030) = 9608018330 / 1
LCM(98011,98030) = 9608018330
Least Common Multiple (LCM) of 98011 and 98030 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98011 and 98030. First we will calculate the prime factors of 98011 and 98030.
Prime Factorization of 98011
Prime factors of 98011 are 98011. Prime factorization of 98011 in exponential form is:
98011 = 980111
Prime Factorization of 98030
Prime factors of 98030 are 2, 5, 9803. Prime factorization of 98030 in exponential form is:
98030 = 21 × 51 × 98031
Now multiplying the highest exponent prime factors to calculate the LCM of 98011 and 98030.
LCM(98011,98030) = 980111 × 21 × 51 × 98031
LCM(98011,98030) = 9608018330
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