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What is the Least Common Multiple of 91063 and 91074?

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 91063 and 91074 is 8293471662.

LCM(91063,91074) = 8293471662

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Least Common Multiple of 91063 and 91074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91063 and 91074, than apply into the LCM equation.

GCF(91063,91074) = 1
LCM(91063,91074) = ( 91063 × 91074) / 1
LCM(91063,91074) = 8293471662 / 1
LCM(91063,91074) = 8293471662

Least Common Multiple (LCM) of 91063 and 91074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91063 and 91074. First we will calculate the prime factors of 91063 and 91074.

Prime Factorization of 91063

Prime factors of 91063 are 7, 13009. Prime factorization of 91063 in exponential form is:

91063 = 71 × 130091

Prime Factorization of 91074

Prime factors of 91074 are 2, 3, 43, 353. Prime factorization of 91074 in exponential form is:

91074 = 21 × 31 × 431 × 3531

Now multiplying the highest exponent prime factors to calculate the LCM of 91063 and 91074.

LCM(91063,91074) = 71 × 130091 × 21 × 31 × 431 × 3531
LCM(91063,91074) = 8293471662