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What is the Least Common Multiple of 65331 and 65346?

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 65331 and 65346 is 1423039842.

LCM(65331,65346) = 1423039842

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Least Common Multiple of 65331 and 65346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65331 and 65346, than apply into the LCM equation.

GCF(65331,65346) = 3
LCM(65331,65346) = ( 65331 × 65346) / 3
LCM(65331,65346) = 4269119526 / 3
LCM(65331,65346) = 1423039842

Least Common Multiple (LCM) of 65331 and 65346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65331 and 65346. First we will calculate the prime factors of 65331 and 65346.

Prime Factorization of 65331

Prime factors of 65331 are 3, 7, 17, 61. Prime factorization of 65331 in exponential form is:

65331 = 32 × 71 × 171 × 611

Prime Factorization of 65346

Prime factors of 65346 are 2, 3, 10891. Prime factorization of 65346 in exponential form is:

65346 = 21 × 31 × 108911

Now multiplying the highest exponent prime factors to calculate the LCM of 65331 and 65346.

LCM(65331,65346) = 32 × 71 × 171 × 611 × 21 × 108911
LCM(65331,65346) = 1423039842