What is the Least Common Multiple of 11197 and 11207?
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 11197 and 11207 is 125484779.
LCM(11197,11207) = 125484779
Least Common Multiple of 11197 and 11207 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11197 and 11207, than apply into the LCM equation.
GCF(11197,11207) = 1
LCM(11197,11207) = ( 11197 × 11207) / 1
LCM(11197,11207) = 125484779 / 1
LCM(11197,11207) = 125484779
Least Common Multiple (LCM) of 11197 and 11207 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 11197 and 11207. First we will calculate the prime factors of 11197 and 11207.
Prime Factorization of 11197
Prime factors of 11197 are 11197. Prime factorization of 11197 in exponential form is:
11197 = 111971
Prime Factorization of 11207
Prime factors of 11207 are 7, 1601. Prime factorization of 11207 in exponential form is:
11207 = 71 × 16011
Now multiplying the highest exponent prime factors to calculate the LCM of 11197 and 11207.
LCM(11197,11207) = 111971 × 71 × 16011
LCM(11197,11207) = 125484779
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