What is the Least Common Multiple of 43327 and 43332?
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 43332 is 1877445564.
LCM(43327,43332) = 1877445564
Least Common Multiple of 43327 and 43332 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 43332, than apply into the LCM equation.
GCF(43327,43332) = 1
LCM(43327,43332) = ( 43327 × 43332) / 1
LCM(43327,43332) = 1877445564 / 1
LCM(43327,43332) = 1877445564
Least Common Multiple (LCM) of 43327 and 43332 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43327 and 43332. First we will calculate the prime factors of 43327 and 43332.
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 43332
Prime factors of 43332 are 2, 3, 23, 157. Prime factorization of 43332 in exponential form is:
43332 = 22 × 31 × 231 × 1571
Now multiplying the highest exponent prime factors to calculate the LCM of 43327 and 43332.
LCM(43327,43332) = 371 × 11711 × 22 × 31 × 231 × 1571
LCM(43327,43332) = 1877445564
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