What is the Least Common Multiple of 99219 and 99233?
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 99219 and 99233 is 9845799027.
LCM(99219,99233) = 9845799027
Least Common Multiple of 99219 and 99233 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99219 and 99233, than apply into the LCM equation.
GCF(99219,99233) = 1
LCM(99219,99233) = ( 99219 × 99233) / 1
LCM(99219,99233) = 9845799027 / 1
LCM(99219,99233) = 9845799027
Least Common Multiple (LCM) of 99219 and 99233 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99219 and 99233. First we will calculate the prime factors of 99219 and 99233.
Prime Factorization of 99219
Prime factors of 99219 are 3, 33073. Prime factorization of 99219 in exponential form is:
99219 = 31 × 330731
Prime Factorization of 99233
Prime factors of 99233 are 99233. Prime factorization of 99233 in exponential form is:
99233 = 992331
Now multiplying the highest exponent prime factors to calculate the LCM of 99219 and 99233.
LCM(99219,99233) = 31 × 330731 × 992331
LCM(99219,99233) = 9845799027
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