What is the Least Common Multiple of 43327 and 43333?
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 43327 and 43333 is 1877488891.
LCM(43327,43333) = 1877488891
Least Common Multiple of 43327 and 43333 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43327 and 43333, than apply into the LCM equation.
GCF(43327,43333) = 1
LCM(43327,43333) = ( 43327 × 43333) / 1
LCM(43327,43333) = 1877488891 / 1
LCM(43327,43333) = 1877488891
Least Common Multiple (LCM) of 43327 and 43333 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43327 and 43333. First we will calculate the prime factors of 43327 and 43333.
Prime Factorization of 43327
Prime factors of 43327 are 37, 1171. Prime factorization of 43327 in exponential form is:
43327 = 371 × 11711
Prime Factorization of 43333
Prime factors of 43333 are 17, 2549. Prime factorization of 43333 in exponential form is:
43333 = 171 × 25491
Now multiplying the highest exponent prime factors to calculate the LCM of 43327 and 43333.
LCM(43327,43333) = 371 × 11711 × 171 × 25491
LCM(43327,43333) = 1877488891
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