What is the Least Common Multiple of 99233 and 99242?
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 99233 and 99242 is 9848081386.
LCM(99233,99242) = 9848081386
Least Common Multiple of 99233 and 99242 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99233 and 99242, than apply into the LCM equation.
GCF(99233,99242) = 1
LCM(99233,99242) = ( 99233 × 99242) / 1
LCM(99233,99242) = 9848081386 / 1
LCM(99233,99242) = 9848081386
Least Common Multiple (LCM) of 99233 and 99242 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99233 and 99242. First we will calculate the prime factors of 99233 and 99242.
Prime Factorization of 99233
Prime factors of 99233 are 99233. Prime factorization of 99233 in exponential form is:
99233 = 992331
Prime Factorization of 99242
Prime factors of 99242 are 2, 11, 13, 347. Prime factorization of 99242 in exponential form is:
99242 = 21 × 111 × 131 × 3471
Now multiplying the highest exponent prime factors to calculate the LCM of 99233 and 99242.
LCM(99233,99242) = 992331 × 21 × 111 × 131 × 3471
LCM(99233,99242) = 9848081386
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