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What is the Least Common Multiple of 65364 and 65380?

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 65380 is 1068374580.

LCM(65364,65380) = 1068374580

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Least Common Multiple of 65364 and 65380 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 65380, than apply into the LCM equation.

GCF(65364,65380) = 4
LCM(65364,65380) = ( 65364 × 65380) / 4
LCM(65364,65380) = 4273498320 / 4
LCM(65364,65380) = 1068374580

Least Common Multiple (LCM) of 65364 and 65380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65364 and 65380. First we will calculate the prime factors of 65364 and 65380.

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 65380

Prime factors of 65380 are 2, 5, 7, 467. Prime factorization of 65380 in exponential form is:

65380 = 22 × 51 × 71 × 4671

Now multiplying the highest exponent prime factors to calculate the LCM of 65364 and 65380.

LCM(65364,65380) = 22 × 31 × 131 × 4191 × 51 × 71 × 4671
LCM(65364,65380) = 1068374580