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What is the Least Common Multiple of 56334 and 56349?

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 56334 and 56349 is 1058121522.

LCM(56334,56349) = 1058121522

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Least Common Multiple of 56334 and 56349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56334 and 56349, than apply into the LCM equation.

GCF(56334,56349) = 3
LCM(56334,56349) = ( 56334 × 56349) / 3
LCM(56334,56349) = 3174364566 / 3
LCM(56334,56349) = 1058121522

Least Common Multiple (LCM) of 56334 and 56349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56334 and 56349. First we will calculate the prime factors of 56334 and 56349.

Prime Factorization of 56334

Prime factors of 56334 are 2, 3, 41, 229. Prime factorization of 56334 in exponential form is:

56334 = 21 × 31 × 411 × 2291

Prime Factorization of 56349

Prime factors of 56349 are 3, 2087. Prime factorization of 56349 in exponential form is:

56349 = 33 × 20871

Now multiplying the highest exponent prime factors to calculate the LCM of 56334 and 56349.

LCM(56334,56349) = 21 × 33 × 411 × 2291 × 20871
LCM(56334,56349) = 1058121522