What is the Least Common Multiple of 98197 and 98204?
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 98197 and 98204 is 9643338188.
LCM(98197,98204) = 9643338188
Least Common Multiple of 98197 and 98204 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98197 and 98204, than apply into the LCM equation.
GCF(98197,98204) = 1
LCM(98197,98204) = ( 98197 × 98204) / 1
LCM(98197,98204) = 9643338188 / 1
LCM(98197,98204) = 9643338188
Least Common Multiple (LCM) of 98197 and 98204 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98197 and 98204. First we will calculate the prime factors of 98197 and 98204.
Prime Factorization of 98197
Prime factors of 98197 are 11, 79, 113. Prime factorization of 98197 in exponential form is:
98197 = 111 × 791 × 1131
Prime Factorization of 98204
Prime factors of 98204 are 2, 24551. Prime factorization of 98204 in exponential form is:
98204 = 22 × 245511
Now multiplying the highest exponent prime factors to calculate the LCM of 98197 and 98204.
LCM(98197,98204) = 111 × 791 × 1131 × 22 × 245511
LCM(98197,98204) = 9643338188
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