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What is the Least Common Multiple of 56085 and 56091?

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 56085 and 56091 is 1048621245.

LCM(56085,56091) = 1048621245

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Least Common Multiple of 56085 and 56091 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56085 and 56091, than apply into the LCM equation.

GCF(56085,56091) = 3
LCM(56085,56091) = ( 56085 × 56091) / 3
LCM(56085,56091) = 3145863735 / 3
LCM(56085,56091) = 1048621245

Least Common Multiple (LCM) of 56085 and 56091 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56085 and 56091. First we will calculate the prime factors of 56085 and 56091.

Prime Factorization of 56085

Prime factors of 56085 are 3, 5, 3739. Prime factorization of 56085 in exponential form is:

56085 = 31 × 51 × 37391

Prime Factorization of 56091

Prime factors of 56091 are 3, 7, 2671. Prime factorization of 56091 in exponential form is:

56091 = 31 × 71 × 26711

Now multiplying the highest exponent prime factors to calculate the LCM of 56085 and 56091.

LCM(56085,56091) = 31 × 51 × 37391 × 71 × 26711
LCM(56085,56091) = 1048621245