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What is the Least Common Multiple of 23043 and 23056?

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 23043 and 23056 is 531279408.

LCM(23043,23056) = 531279408

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Least Common Multiple of 23043 and 23056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23043 and 23056, than apply into the LCM equation.

GCF(23043,23056) = 1
LCM(23043,23056) = ( 23043 × 23056) / 1
LCM(23043,23056) = 531279408 / 1
LCM(23043,23056) = 531279408

Least Common Multiple (LCM) of 23043 and 23056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23043 and 23056. First we will calculate the prime factors of 23043 and 23056.

Prime Factorization of 23043

Prime factors of 23043 are 3, 7681. Prime factorization of 23043 in exponential form is:

23043 = 31 × 76811

Prime Factorization of 23056

Prime factors of 23056 are 2, 11, 131. Prime factorization of 23056 in exponential form is:

23056 = 24 × 111 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 23043 and 23056.

LCM(23043,23056) = 31 × 76811 × 24 × 111 × 1311
LCM(23043,23056) = 531279408