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What is the Least Common Multiple of 65351 and 65362?

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 65351 and 65362 is 388315642.

LCM(65351,65362) = 388315642

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Least Common Multiple of 65351 and 65362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65351 and 65362, than apply into the LCM equation.

GCF(65351,65362) = 11
LCM(65351,65362) = ( 65351 × 65362) / 11
LCM(65351,65362) = 4271472062 / 11
LCM(65351,65362) = 388315642

Least Common Multiple (LCM) of 65351 and 65362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65351 and 65362. First we will calculate the prime factors of 65351 and 65362.

Prime Factorization of 65351

Prime factors of 65351 are 11, 13, 457. Prime factorization of 65351 in exponential form is:

65351 = 111 × 131 × 4571

Prime Factorization of 65362

Prime factors of 65362 are 2, 11, 2971. Prime factorization of 65362 in exponential form is:

65362 = 21 × 111 × 29711

Now multiplying the highest exponent prime factors to calculate the LCM of 65351 and 65362.

LCM(65351,65362) = 111 × 131 × 4571 × 21 × 29711
LCM(65351,65362) = 388315642