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What is the Least Common Multiple of 41036 and 41052?

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 41036 and 41052 is 421152468.

LCM(41036,41052) = 421152468

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Least Common Multiple of 41036 and 41052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41036 and 41052, than apply into the LCM equation.

GCF(41036,41052) = 4
LCM(41036,41052) = ( 41036 × 41052) / 4
LCM(41036,41052) = 1684609872 / 4
LCM(41036,41052) = 421152468

Least Common Multiple (LCM) of 41036 and 41052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41036 and 41052. First we will calculate the prime factors of 41036 and 41052.

Prime Factorization of 41036

Prime factors of 41036 are 2, 10259. Prime factorization of 41036 in exponential form is:

41036 = 22 × 102591

Prime Factorization of 41052

Prime factors of 41052 are 2, 3, 11, 311. Prime factorization of 41052 in exponential form is:

41052 = 22 × 31 × 111 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 41036 and 41052.

LCM(41036,41052) = 22 × 102591 × 31 × 111 × 3111
LCM(41036,41052) = 421152468