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What is the Least Common Multiple of 5789 and 5802?

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 5789 and 5802 is 33587778.

LCM(5789,5802) = 33587778

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Least Common Multiple of 5789 and 5802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5789 and 5802, than apply into the LCM equation.

GCF(5789,5802) = 1
LCM(5789,5802) = ( 5789 × 5802) / 1
LCM(5789,5802) = 33587778 / 1
LCM(5789,5802) = 33587778

Least Common Multiple (LCM) of 5789 and 5802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5789 and 5802. First we will calculate the prime factors of 5789 and 5802.

Prime Factorization of 5789

Prime factors of 5789 are 7, 827. Prime factorization of 5789 in exponential form is:

5789 = 71 × 8271

Prime Factorization of 5802

Prime factors of 5802 are 2, 3, 967. Prime factorization of 5802 in exponential form is:

5802 = 21 × 31 × 9671

Now multiplying the highest exponent prime factors to calculate the LCM of 5789 and 5802.

LCM(5789,5802) = 71 × 8271 × 21 × 31 × 9671
LCM(5789,5802) = 33587778