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What is the Least Common Multiple of 36027 and 36037?

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 36027 and 36037 is 1298304999.

LCM(36027,36037) = 1298304999

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Least Common Multiple of 36027 and 36037 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36027 and 36037, than apply into the LCM equation.

GCF(36027,36037) = 1
LCM(36027,36037) = ( 36027 × 36037) / 1
LCM(36027,36037) = 1298304999 / 1
LCM(36027,36037) = 1298304999

Least Common Multiple (LCM) of 36027 and 36037 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36027 and 36037. First we will calculate the prime factors of 36027 and 36037.

Prime Factorization of 36027

Prime factors of 36027 are 3, 4003. Prime factorization of 36027 in exponential form is:

36027 = 32 × 40031

Prime Factorization of 36037

Prime factors of 36037 are 36037. Prime factorization of 36037 in exponential form is:

36037 = 360371

Now multiplying the highest exponent prime factors to calculate the LCM of 36027 and 36037.

LCM(36027,36037) = 32 × 40031 × 360371
LCM(36027,36037) = 1298304999