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What is the Least Common Multiple of 9055 and 9074?

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 9055 and 9074 is 82165070.

LCM(9055,9074) = 82165070

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Least Common Multiple of 9055 and 9074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9055 and 9074, than apply into the LCM equation.

GCF(9055,9074) = 1
LCM(9055,9074) = ( 9055 × 9074) / 1
LCM(9055,9074) = 82165070 / 1
LCM(9055,9074) = 82165070

Least Common Multiple (LCM) of 9055 and 9074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9055 and 9074. First we will calculate the prime factors of 9055 and 9074.

Prime Factorization of 9055

Prime factors of 9055 are 5, 1811. Prime factorization of 9055 in exponential form is:

9055 = 51 × 18111

Prime Factorization of 9074

Prime factors of 9074 are 2, 13, 349. Prime factorization of 9074 in exponential form is:

9074 = 21 × 131 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 9055 and 9074.

LCM(9055,9074) = 51 × 18111 × 21 × 131 × 3491
LCM(9055,9074) = 82165070