What is the Least Common Multiple of 5351 and 5370?
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 5370 is 28734870.
LCM(5351,5370) = 28734870
Least Common Multiple of 5351 and 5370 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 5370, than apply into the LCM equation.
GCF(5351,5370) = 1
LCM(5351,5370) = ( 5351 × 5370) / 1
LCM(5351,5370) = 28734870 / 1
LCM(5351,5370) = 28734870
Least Common Multiple (LCM) of 5351 and 5370 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5351 and 5370. First we will calculate the prime factors of 5351 and 5370.
Prime Factorization of 5351
Prime factors of 5351 are 5351. Prime factorization of 5351 in exponential form is:
5351 = 53511
Prime Factorization of 5370
Prime factors of 5370 are 2, 3, 5, 179. Prime factorization of 5370 in exponential form is:
5370 = 21 × 31 × 51 × 1791
Now multiplying the highest exponent prime factors to calculate the LCM of 5351 and 5370.
LCM(5351,5370) = 53511 × 21 × 31 × 51 × 1791
LCM(5351,5370) = 28734870
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