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What is the Least Common Multiple of 65331 and 65349?

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 65349 is 474368391.

LCM(65331,65349) = 474368391

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Least Common Multiple of 65331 and 65349 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 65349, than apply into the LCM equation.

GCF(65331,65349) = 9
LCM(65331,65349) = ( 65331 × 65349) / 9
LCM(65331,65349) = 4269315519 / 9
LCM(65331,65349) = 474368391

Least Common Multiple (LCM) of 65331 and 65349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65331 and 65349. First we will calculate the prime factors of 65331 and 65349.

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 65349

Prime factors of 65349 are 3, 53, 137. Prime factorization of 65349 in exponential form is:

65349 = 32 × 531 × 1371

Now multiplying the highest exponent prime factors to calculate the LCM of 65331 and 65349.

LCM(65331,65349) = 32 × 71 × 171 × 611 × 531 × 1371
LCM(65331,65349) = 474368391