What is the Least Common Multiple of 43272 and 43277?
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 43272 and 43277 is 1872682344.
LCM(43272,43277) = 1872682344
Least Common Multiple of 43272 and 43277 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43272 and 43277, than apply into the LCM equation.
GCF(43272,43277) = 1
LCM(43272,43277) = ( 43272 × 43277) / 1
LCM(43272,43277) = 1872682344 / 1
LCM(43272,43277) = 1872682344
Least Common Multiple (LCM) of 43272 and 43277 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43272 and 43277. First we will calculate the prime factors of 43272 and 43277.
Prime Factorization of 43272
Prime factors of 43272 are 2, 3, 601. Prime factorization of 43272 in exponential form is:
43272 = 23 × 32 × 6011
Prime Factorization of 43277
Prime factors of 43277 are 13, 3329. Prime factorization of 43277 in exponential form is:
43277 = 131 × 33291
Now multiplying the highest exponent prime factors to calculate the LCM of 43272 and 43277.
LCM(43272,43277) = 23 × 32 × 6011 × 131 × 33291
LCM(43272,43277) = 1872682344
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