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What is the Least Common Multiple of 41056 and 41064?

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 41056 and 41064 is 210740448.

LCM(41056,41064) = 210740448

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Least Common Multiple of 41056 and 41064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41056 and 41064, than apply into the LCM equation.

GCF(41056,41064) = 8
LCM(41056,41064) = ( 41056 × 41064) / 8
LCM(41056,41064) = 1685923584 / 8
LCM(41056,41064) = 210740448

Least Common Multiple (LCM) of 41056 and 41064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41056 and 41064. First we will calculate the prime factors of 41056 and 41064.

Prime Factorization of 41056

Prime factors of 41056 are 2, 1283. Prime factorization of 41056 in exponential form is:

41056 = 25 × 12831

Prime Factorization of 41064

Prime factors of 41064 are 2, 3, 29, 59. Prime factorization of 41064 in exponential form is:

41064 = 23 × 31 × 291 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 41056 and 41064.

LCM(41056,41064) = 25 × 12831 × 31 × 291 × 591
LCM(41056,41064) = 210740448