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What is the Least Common Multiple of 65364 and 65378?

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 65364 and 65378 is 2136683796.

LCM(65364,65378) = 2136683796

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Least Common Multiple of 65364 and 65378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65364 and 65378, than apply into the LCM equation.

GCF(65364,65378) = 2
LCM(65364,65378) = ( 65364 × 65378) / 2
LCM(65364,65378) = 4273367592 / 2
LCM(65364,65378) = 2136683796

Least Common Multiple (LCM) of 65364 and 65378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65364 and 65378. First we will calculate the prime factors of 65364 and 65378.

Prime Factorization of 65364

Prime factors of 65364 are 2, 3, 13, 419. Prime factorization of 65364 in exponential form is:

65364 = 22 × 31 × 131 × 4191

Prime Factorization of 65378

Prime factors of 65378 are 2, 97, 337. Prime factorization of 65378 in exponential form is:

65378 = 21 × 971 × 3371

Now multiplying the highest exponent prime factors to calculate the LCM of 65364 and 65378.

LCM(65364,65378) = 22 × 31 × 131 × 4191 × 971 × 3371
LCM(65364,65378) = 2136683796