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What is the Least Common Multiple of 61322 and 61333?

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 61322 and 61333 is 3761062226.

LCM(61322,61333) = 3761062226

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Least Common Multiple of 61322 and 61333 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61322 and 61333, than apply into the LCM equation.

GCF(61322,61333) = 1
LCM(61322,61333) = ( 61322 × 61333) / 1
LCM(61322,61333) = 3761062226 / 1
LCM(61322,61333) = 3761062226

Least Common Multiple (LCM) of 61322 and 61333 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61322 and 61333. First we will calculate the prime factors of 61322 and 61333.

Prime Factorization of 61322

Prime factors of 61322 are 2, 30661. Prime factorization of 61322 in exponential form is:

61322 = 21 × 306611

Prime Factorization of 61333

Prime factors of 61333 are 61333. Prime factorization of 61333 in exponential form is:

61333 = 613331

Now multiplying the highest exponent prime factors to calculate the LCM of 61322 and 61333.

LCM(61322,61333) = 21 × 306611 × 613331
LCM(61322,61333) = 3761062226