What is the Least Common Multiple of 43356 and 43369?
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 43356 and 43369 is 1880306364.
LCM(43356,43369) = 1880306364
Least Common Multiple of 43356 and 43369 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43356 and 43369, than apply into the LCM equation.
GCF(43356,43369) = 1
LCM(43356,43369) = ( 43356 × 43369) / 1
LCM(43356,43369) = 1880306364 / 1
LCM(43356,43369) = 1880306364
Least Common Multiple (LCM) of 43356 and 43369 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 43356 and 43369. First we will calculate the prime factors of 43356 and 43369.
Prime Factorization of 43356
Prime factors of 43356 are 2, 3, 3613. Prime factorization of 43356 in exponential form is:
43356 = 22 × 31 × 36131
Prime Factorization of 43369
Prime factors of 43369 are 31, 1399. Prime factorization of 43369 in exponential form is:
43369 = 311 × 13991
Now multiplying the highest exponent prime factors to calculate the LCM of 43356 and 43369.
LCM(43356,43369) = 22 × 31 × 36131 × 311 × 13991
LCM(43356,43369) = 1880306364
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