What is the Least Common Multiple of 36062 and 36071?
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 36062 and 36071 is 1300792402.
LCM(36062,36071) = 1300792402
Least Common Multiple of 36062 and 36071 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36062 and 36071, than apply into the LCM equation.
GCF(36062,36071) = 1
LCM(36062,36071) = ( 36062 × 36071) / 1
LCM(36062,36071) = 1300792402 / 1
LCM(36062,36071) = 1300792402
Least Common Multiple (LCM) of 36062 and 36071 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 36062 and 36071. First we will calculate the prime factors of 36062 and 36071.
Prime Factorization of 36062
Prime factors of 36062 are 2, 13, 19, 73. Prime factorization of 36062 in exponential form is:
36062 = 21 × 131 × 191 × 731
Prime Factorization of 36071
Prime factors of 36071 are 7, 5153. Prime factorization of 36071 in exponential form is:
36071 = 71 × 51531
Now multiplying the highest exponent prime factors to calculate the LCM of 36062 and 36071.
LCM(36062,36071) = 21 × 131 × 191 × 731 × 71 × 51531
LCM(36062,36071) = 1300792402
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