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What is the Least Common Multiple of 65372 and 65389?

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 65372 and 65389 is 4274609708.

LCM(65372,65389) = 4274609708

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Least Common Multiple of 65372 and 65389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65372 and 65389, than apply into the LCM equation.

GCF(65372,65389) = 1
LCM(65372,65389) = ( 65372 × 65389) / 1
LCM(65372,65389) = 4274609708 / 1
LCM(65372,65389) = 4274609708

Least Common Multiple (LCM) of 65372 and 65389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65372 and 65389. First we will calculate the prime factors of 65372 and 65389.

Prime Factorization of 65372

Prime factors of 65372 are 2, 59, 277. Prime factorization of 65372 in exponential form is:

65372 = 22 × 591 × 2771

Prime Factorization of 65389

Prime factors of 65389 are 23, 2843. Prime factorization of 65389 in exponential form is:

65389 = 231 × 28431

Now multiplying the highest exponent prime factors to calculate the LCM of 65372 and 65389.

LCM(65372,65389) = 22 × 591 × 2771 × 231 × 28431
LCM(65372,65389) = 4274609708