What is the Least Common Multiple of 5351 and 5371?
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 5351 and 5371 is 28740221.
LCM(5351,5371) = 28740221
Least Common Multiple of 5351 and 5371 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5351 and 5371, than apply into the LCM equation.
GCF(5351,5371) = 1
LCM(5351,5371) = ( 5351 × 5371) / 1
LCM(5351,5371) = 28740221 / 1
LCM(5351,5371) = 28740221
Least Common Multiple (LCM) of 5351 and 5371 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5351 and 5371. First we will calculate the prime factors of 5351 and 5371.
Prime Factorization of 5351
Prime factors of 5351 are 5351. Prime factorization of 5351 in exponential form is:
5351 = 53511
Prime Factorization of 5371
Prime factors of 5371 are 41, 131. Prime factorization of 5371 in exponential form is:
5371 = 411 × 1311
Now multiplying the highest exponent prime factors to calculate the LCM of 5351 and 5371.
LCM(5351,5371) = 53511 × 411 × 1311
LCM(5351,5371) = 28740221
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