What is the Least Common Multiple of 30097 and 30116?
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 30097 and 30116 is 906401252.
LCM(30097,30116) = 906401252
Least Common Multiple of 30097 and 30116 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30097 and 30116, than apply into the LCM equation.
GCF(30097,30116) = 1
LCM(30097,30116) = ( 30097 × 30116) / 1
LCM(30097,30116) = 906401252 / 1
LCM(30097,30116) = 906401252
Least Common Multiple (LCM) of 30097 and 30116 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30097 and 30116. First we will calculate the prime factors of 30097 and 30116.
Prime Factorization of 30097
Prime factors of 30097 are 30097. Prime factorization of 30097 in exponential form is:
30097 = 300971
Prime Factorization of 30116
Prime factors of 30116 are 2, 7529. Prime factorization of 30116 in exponential form is:
30116 = 22 × 75291
Now multiplying the highest exponent prime factors to calculate the LCM of 30097 and 30116.
LCM(30097,30116) = 300971 × 22 × 75291
LCM(30097,30116) = 906401252
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