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What is the Least Common Multiple of 36059 and 36066?

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 36059 and 36066 is 1300503894.

LCM(36059,36066) = 1300503894

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Least Common Multiple of 36059 and 36066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36059 and 36066, than apply into the LCM equation.

GCF(36059,36066) = 1
LCM(36059,36066) = ( 36059 × 36066) / 1
LCM(36059,36066) = 1300503894 / 1
LCM(36059,36066) = 1300503894

Least Common Multiple (LCM) of 36059 and 36066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36059 and 36066. First we will calculate the prime factors of 36059 and 36066.

Prime Factorization of 36059

Prime factors of 36059 are 107, 337. Prime factorization of 36059 in exponential form is:

36059 = 1071 × 3371

Prime Factorization of 36066

Prime factors of 36066 are 2, 3, 6011. Prime factorization of 36066 in exponential form is:

36066 = 21 × 31 × 60111

Now multiplying the highest exponent prime factors to calculate the LCM of 36059 and 36066.

LCM(36059,36066) = 1071 × 3371 × 21 × 31 × 60111
LCM(36059,36066) = 1300503894