What is the Least Common Multiple of 99221 and 99236?
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 99221 and 99236 is 9846295156.
LCM(99221,99236) = 9846295156
Least Common Multiple of 99221 and 99236 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99221 and 99236, than apply into the LCM equation.
GCF(99221,99236) = 1
LCM(99221,99236) = ( 99221 × 99236) / 1
LCM(99221,99236) = 9846295156 / 1
LCM(99221,99236) = 9846295156
Least Common Multiple (LCM) of 99221 and 99236 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99221 and 99236. First we will calculate the prime factors of 99221 and 99236.
Prime Factorization of 99221
Prime factors of 99221 are 313, 317. Prime factorization of 99221 in exponential form is:
99221 = 3131 × 3171
Prime Factorization of 99236
Prime factors of 99236 are 2, 24809. Prime factorization of 99236 in exponential form is:
99236 = 22 × 248091
Now multiplying the highest exponent prime factors to calculate the LCM of 99221 and 99236.
LCM(99221,99236) = 3131 × 3171 × 22 × 248091
LCM(99221,99236) = 9846295156
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