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What is the Least Common Multiple of 24043 and 24052?

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 24043 and 24052 is 578282236.

LCM(24043,24052) = 578282236

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Least Common Multiple of 24043 and 24052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24043 and 24052, than apply into the LCM equation.

GCF(24043,24052) = 1
LCM(24043,24052) = ( 24043 × 24052) / 1
LCM(24043,24052) = 578282236 / 1
LCM(24043,24052) = 578282236

Least Common Multiple (LCM) of 24043 and 24052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24043 and 24052. First we will calculate the prime factors of 24043 and 24052.

Prime Factorization of 24043

Prime factors of 24043 are 24043. Prime factorization of 24043 in exponential form is:

24043 = 240431

Prime Factorization of 24052

Prime factors of 24052 are 2, 7, 859. Prime factorization of 24052 in exponential form is:

24052 = 22 × 71 × 8591

Now multiplying the highest exponent prime factors to calculate the LCM of 24043 and 24052.

LCM(24043,24052) = 240431 × 22 × 71 × 8591
LCM(24043,24052) = 578282236