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What is the Least Common Multiple of 27122 and 27141?

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 27122 and 27141 is 736118202.

LCM(27122,27141) = 736118202

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Least Common Multiple of 27122 and 27141 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27122 and 27141, than apply into the LCM equation.

GCF(27122,27141) = 1
LCM(27122,27141) = ( 27122 × 27141) / 1
LCM(27122,27141) = 736118202 / 1
LCM(27122,27141) = 736118202

Least Common Multiple (LCM) of 27122 and 27141 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27122 and 27141. First we will calculate the prime factors of 27122 and 27141.

Prime Factorization of 27122

Prime factors of 27122 are 2, 71, 191. Prime factorization of 27122 in exponential form is:

27122 = 21 × 711 × 1911

Prime Factorization of 27141

Prime factors of 27141 are 3, 83, 109. Prime factorization of 27141 in exponential form is:

27141 = 31 × 831 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 27122 and 27141.

LCM(27122,27141) = 21 × 711 × 1911 × 31 × 831 × 1091
LCM(27122,27141) = 736118202