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What is the Least Common Multiple of 65320 and 65335?

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 65320 and 65335 is 853536440.

LCM(65320,65335) = 853536440

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Least Common Multiple of 65320 and 65335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65320 and 65335, than apply into the LCM equation.

GCF(65320,65335) = 5
LCM(65320,65335) = ( 65320 × 65335) / 5
LCM(65320,65335) = 4267682200 / 5
LCM(65320,65335) = 853536440

Least Common Multiple (LCM) of 65320 and 65335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65320 and 65335. First we will calculate the prime factors of 65320 and 65335.

Prime Factorization of 65320

Prime factors of 65320 are 2, 5, 23, 71. Prime factorization of 65320 in exponential form is:

65320 = 23 × 51 × 231 × 711

Prime Factorization of 65335

Prime factors of 65335 are 5, 73, 179. Prime factorization of 65335 in exponential form is:

65335 = 51 × 731 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 65320 and 65335.

LCM(65320,65335) = 23 × 51 × 231 × 711 × 731 × 1791
LCM(65320,65335) = 853536440