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What is the Least Common Multiple of 27122 and 27138?

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 27138 is 368018418.

LCM(27122,27138) = 368018418

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Least Common Multiple of 27122 and 27138 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 27138, than apply into the LCM equation.

GCF(27122,27138) = 2
LCM(27122,27138) = ( 27122 × 27138) / 2
LCM(27122,27138) = 736036836 / 2
LCM(27122,27138) = 368018418

Least Common Multiple (LCM) of 27122 and 27138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27122 and 27138. First we will calculate the prime factors of 27122 and 27138.

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 27138

Prime factors of 27138 are 2, 3, 4523. Prime factorization of 27138 in exponential form is:

27138 = 21 × 31 × 45231

Now multiplying the highest exponent prime factors to calculate the LCM of 27122 and 27138.

LCM(27122,27138) = 21 × 711 × 1911 × 31 × 45231
LCM(27122,27138) = 368018418