What is the Least Common Multiple of 36111 and 36117?
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 36111 and 36117 is 434740329.
LCM(36111,36117) = 434740329
Least Common Multiple of 36111 and 36117 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36111 and 36117, than apply into the LCM equation.
GCF(36111,36117) = 3
LCM(36111,36117) = ( 36111 × 36117) / 3
LCM(36111,36117) = 1304220987 / 3
LCM(36111,36117) = 434740329
Least Common Multiple (LCM) of 36111 and 36117 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 36111 and 36117. First we will calculate the prime factors of 36111 and 36117.
Prime Factorization of 36111
Prime factors of 36111 are 3, 12037. Prime factorization of 36111 in exponential form is:
36111 = 31 × 120371
Prime Factorization of 36117
Prime factors of 36117 are 3, 4013. Prime factorization of 36117 in exponential form is:
36117 = 32 × 40131
Now multiplying the highest exponent prime factors to calculate the LCM of 36111 and 36117.
LCM(36111,36117) = 32 × 120371 × 40131
LCM(36111,36117) = 434740329
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