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What is the Least Common Multiple of 56191 and 56196?

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 56191 and 56196 is 3157709436.

LCM(56191,56196) = 3157709436

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Least Common Multiple of 56191 and 56196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56191 and 56196, than apply into the LCM equation.

GCF(56191,56196) = 1
LCM(56191,56196) = ( 56191 × 56196) / 1
LCM(56191,56196) = 3157709436 / 1
LCM(56191,56196) = 3157709436

Least Common Multiple (LCM) of 56191 and 56196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56191 and 56196. First we will calculate the prime factors of 56191 and 56196.

Prime Factorization of 56191

Prime factors of 56191 are 83, 677. Prime factorization of 56191 in exponential form is:

56191 = 831 × 6771

Prime Factorization of 56196

Prime factors of 56196 are 2, 3, 7, 223. Prime factorization of 56196 in exponential form is:

56196 = 22 × 32 × 71 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 56191 and 56196.

LCM(56191,56196) = 831 × 6771 × 22 × 32 × 71 × 2231
LCM(56191,56196) = 3157709436