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What is the Least Common Multiple of 65345 and 65356?

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 65345 and 65356 is 4270687820.

LCM(65345,65356) = 4270687820

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Least Common Multiple of 65345 and 65356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65345 and 65356, than apply into the LCM equation.

GCF(65345,65356) = 1
LCM(65345,65356) = ( 65345 × 65356) / 1
LCM(65345,65356) = 4270687820 / 1
LCM(65345,65356) = 4270687820

Least Common Multiple (LCM) of 65345 and 65356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65345 and 65356. First we will calculate the prime factors of 65345 and 65356.

Prime Factorization of 65345

Prime factors of 65345 are 5, 7, 1867. Prime factorization of 65345 in exponential form is:

65345 = 51 × 71 × 18671

Prime Factorization of 65356

Prime factors of 65356 are 2, 16339. Prime factorization of 65356 in exponential form is:

65356 = 22 × 163391

Now multiplying the highest exponent prime factors to calculate the LCM of 65345 and 65356.

LCM(65345,65356) = 51 × 71 × 18671 × 22 × 163391
LCM(65345,65356) = 4270687820