What is the Least Common Multiple of 7833 and 7838?
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 7833 and 7838 is 61395054.
LCM(7833,7838) = 61395054
Least Common Multiple of 7833 and 7838 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7833 and 7838, than apply into the LCM equation.
GCF(7833,7838) = 1
LCM(7833,7838) = ( 7833 × 7838) / 1
LCM(7833,7838) = 61395054 / 1
LCM(7833,7838) = 61395054
Least Common Multiple (LCM) of 7833 and 7838 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7833 and 7838. First we will calculate the prime factors of 7833 and 7838.
Prime Factorization of 7833
Prime factors of 7833 are 3, 7, 373. Prime factorization of 7833 in exponential form is:
7833 = 31 × 71 × 3731
Prime Factorization of 7838
Prime factors of 7838 are 2, 3919. Prime factorization of 7838 in exponential form is:
7838 = 21 × 39191
Now multiplying the highest exponent prime factors to calculate the LCM of 7833 and 7838.
LCM(7833,7838) = 31 × 71 × 3731 × 21 × 39191
LCM(7833,7838) = 61395054
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