What is the Least Common Multiple of 30597 and 30613?
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 30597 and 30613 is 936665961.
LCM(30597,30613) = 936665961
Least Common Multiple of 30597 and 30613 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30597 and 30613, than apply into the LCM equation.
GCF(30597,30613) = 1
LCM(30597,30613) = ( 30597 × 30613) / 1
LCM(30597,30613) = 936665961 / 1
LCM(30597,30613) = 936665961
Least Common Multiple (LCM) of 30597 and 30613 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30597 and 30613. First we will calculate the prime factors of 30597 and 30613.
Prime Factorization of 30597
Prime factors of 30597 are 3, 7, 31, 47. Prime factorization of 30597 in exponential form is:
30597 = 31 × 71 × 311 × 471
Prime Factorization of 30613
Prime factors of 30613 are 11, 23. Prime factorization of 30613 in exponential form is:
30613 = 113 × 231
Now multiplying the highest exponent prime factors to calculate the LCM of 30597 and 30613.
LCM(30597,30613) = 31 × 71 × 311 × 471 × 113 × 231
LCM(30597,30613) = 936665961
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