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What is the Least Common Multiple of 28055 and 28061?

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 28055 and 28061 is 787251355.

LCM(28055,28061) = 787251355

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Least Common Multiple of 28055 and 28061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28055 and 28061, than apply into the LCM equation.

GCF(28055,28061) = 1
LCM(28055,28061) = ( 28055 × 28061) / 1
LCM(28055,28061) = 787251355 / 1
LCM(28055,28061) = 787251355

Least Common Multiple (LCM) of 28055 and 28061 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28055 and 28061. First we will calculate the prime factors of 28055 and 28061.

Prime Factorization of 28055

Prime factors of 28055 are 5, 31, 181. Prime factorization of 28055 in exponential form is:

28055 = 51 × 311 × 1811

Prime Factorization of 28061

Prime factors of 28061 are 11, 2551. Prime factorization of 28061 in exponential form is:

28061 = 111 × 25511

Now multiplying the highest exponent prime factors to calculate the LCM of 28055 and 28061.

LCM(28055,28061) = 51 × 311 × 1811 × 111 × 25511
LCM(28055,28061) = 787251355