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What is the Least Common Multiple of 66335 and 66349?

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 66335 and 66349 is 4401260915.

LCM(66335,66349) = 4401260915

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Least Common Multiple of 66335 and 66349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66335 and 66349, than apply into the LCM equation.

GCF(66335,66349) = 1
LCM(66335,66349) = ( 66335 × 66349) / 1
LCM(66335,66349) = 4401260915 / 1
LCM(66335,66349) = 4401260915

Least Common Multiple (LCM) of 66335 and 66349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66335 and 66349. First we will calculate the prime factors of 66335 and 66349.

Prime Factorization of 66335

Prime factors of 66335 are 5, 13267. Prime factorization of 66335 in exponential form is:

66335 = 51 × 132671

Prime Factorization of 66349

Prime factors of 66349 are 43, 1543. Prime factorization of 66349 in exponential form is:

66349 = 431 × 15431

Now multiplying the highest exponent prime factors to calculate the LCM of 66335 and 66349.

LCM(66335,66349) = 51 × 132671 × 431 × 15431
LCM(66335,66349) = 4401260915