What is the Least Common Multiple of 5347 and 5356?
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 5347 and 5356 is 28638532.
LCM(5347,5356) = 28638532
Least Common Multiple of 5347 and 5356 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5347 and 5356, than apply into the LCM equation.
GCF(5347,5356) = 1
LCM(5347,5356) = ( 5347 × 5356) / 1
LCM(5347,5356) = 28638532 / 1
LCM(5347,5356) = 28638532
Least Common Multiple (LCM) of 5347 and 5356 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5347 and 5356. First we will calculate the prime factors of 5347 and 5356.
Prime Factorization of 5347
Prime factors of 5347 are 5347. Prime factorization of 5347 in exponential form is:
5347 = 53471
Prime Factorization of 5356
Prime factors of 5356 are 2, 13, 103. Prime factorization of 5356 in exponential form is:
5356 = 22 × 131 × 1031
Now multiplying the highest exponent prime factors to calculate the LCM of 5347 and 5356.
LCM(5347,5356) = 53471 × 22 × 131 × 1031
LCM(5347,5356) = 28638532
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