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What is the Least Common Multiple of 56349 and 56366?

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 56349 and 56366 is 3176167734.

LCM(56349,56366) = 3176167734

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Least Common Multiple of 56349 and 56366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56349 and 56366, than apply into the LCM equation.

GCF(56349,56366) = 1
LCM(56349,56366) = ( 56349 × 56366) / 1
LCM(56349,56366) = 3176167734 / 1
LCM(56349,56366) = 3176167734

Least Common Multiple (LCM) of 56349 and 56366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56349 and 56366. First we will calculate the prime factors of 56349 and 56366.

Prime Factorization of 56349

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

56349 = 33 × 20871

Prime Factorization of 56366

Prime factors of 56366 are 2, 28183. Prime factorization of 56366 in exponential form is:

56366 = 21 × 281831

Now multiplying the highest exponent prime factors to calculate the LCM of 56349 and 56366.

LCM(56349,56366) = 33 × 20871 × 21 × 281831
LCM(56349,56366) = 3176167734