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What is the Least Common Multiple of 36028 and 36041?

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 36028 and 36041 is 1298485148.

LCM(36028,36041) = 1298485148

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Least Common Multiple of 36028 and 36041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36028 and 36041, than apply into the LCM equation.

GCF(36028,36041) = 1
LCM(36028,36041) = ( 36028 × 36041) / 1
LCM(36028,36041) = 1298485148 / 1
LCM(36028,36041) = 1298485148

Least Common Multiple (LCM) of 36028 and 36041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36028 and 36041. First we will calculate the prime factors of 36028 and 36041.

Prime Factorization of 36028

Prime factors of 36028 are 2, 9007. Prime factorization of 36028 in exponential form is:

36028 = 22 × 90071

Prime Factorization of 36041

Prime factors of 36041 are 23, 1567. Prime factorization of 36041 in exponential form is:

36041 = 231 × 15671

Now multiplying the highest exponent prime factors to calculate the LCM of 36028 and 36041.

LCM(36028,36041) = 22 × 90071 × 231 × 15671
LCM(36028,36041) = 1298485148