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What is the Least Common Multiple of 65398 and 65408?

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 65398 and 65408 is 2138776192.

LCM(65398,65408) = 2138776192

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Least Common Multiple of 65398 and 65408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65398 and 65408, than apply into the LCM equation.

GCF(65398,65408) = 2
LCM(65398,65408) = ( 65398 × 65408) / 2
LCM(65398,65408) = 4277552384 / 2
LCM(65398,65408) = 2138776192

Least Common Multiple (LCM) of 65398 and 65408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65398 and 65408. First we will calculate the prime factors of 65398 and 65408.

Prime Factorization of 65398

Prime factors of 65398 are 2, 19, 1721. Prime factorization of 65398 in exponential form is:

65398 = 21 × 191 × 17211

Prime Factorization of 65408

Prime factors of 65408 are 2, 7, 73. Prime factorization of 65408 in exponential form is:

65408 = 27 × 71 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 65398 and 65408.

LCM(65398,65408) = 27 × 191 × 17211 × 71 × 731
LCM(65398,65408) = 2138776192