What is the Least Common Multiple of 98917 and 98922?
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 98917 and 98922 is 9785067474.
LCM(98917,98922) = 9785067474
Least Common Multiple of 98917 and 98922 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98917 and 98922, than apply into the LCM equation.
GCF(98917,98922) = 1
LCM(98917,98922) = ( 98917 × 98922) / 1
LCM(98917,98922) = 9785067474 / 1
LCM(98917,98922) = 9785067474
Least Common Multiple (LCM) of 98917 and 98922 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 98917 and 98922. First we will calculate the prime factors of 98917 and 98922.
Prime Factorization of 98917
Prime factors of 98917 are 7, 13, 1087. Prime factorization of 98917 in exponential form is:
98917 = 71 × 131 × 10871
Prime Factorization of 98922
Prime factors of 98922 are 2, 3, 16487. Prime factorization of 98922 in exponential form is:
98922 = 21 × 31 × 164871
Now multiplying the highest exponent prime factors to calculate the LCM of 98917 and 98922.
LCM(98917,98922) = 71 × 131 × 10871 × 21 × 31 × 164871
LCM(98917,98922) = 9785067474
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