What is the Least Common Multiple of 36073 and 36079?
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 36073 and 36079 is 1301477767.
LCM(36073,36079) = 1301477767
Least Common Multiple of 36073 and 36079 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36073 and 36079, than apply into the LCM equation.
GCF(36073,36079) = 1
LCM(36073,36079) = ( 36073 × 36079) / 1
LCM(36073,36079) = 1301477767 / 1
LCM(36073,36079) = 1301477767
Least Common Multiple (LCM) of 36073 and 36079 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 36073 and 36079. First we will calculate the prime factors of 36073 and 36079.
Prime Factorization of 36073
Prime factors of 36073 are 36073. Prime factorization of 36073 in exponential form is:
36073 = 360731
Prime Factorization of 36079
Prime factors of 36079 are 109, 331. Prime factorization of 36079 in exponential form is:
36079 = 1091 × 3311
Now multiplying the highest exponent prime factors to calculate the LCM of 36073 and 36079.
LCM(36073,36079) = 360731 × 1091 × 3311
LCM(36073,36079) = 1301477767
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