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What is the Least Common Multiple of 27122 and 27140?

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 27140 is 368045540.

LCM(27122,27140) = 368045540

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Least Common Multiple of 27122 and 27140 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 27140, than apply into the LCM equation.

GCF(27122,27140) = 2
LCM(27122,27140) = ( 27122 × 27140) / 2
LCM(27122,27140) = 736091080 / 2
LCM(27122,27140) = 368045540

Least Common Multiple (LCM) of 27122 and 27140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27122 and 27140. First we will calculate the prime factors of 27122 and 27140.

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 27140

Prime factors of 27140 are 2, 5, 23, 59. Prime factorization of 27140 in exponential form is:

27140 = 22 × 51 × 231 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 27122 and 27140.

LCM(27122,27140) = 22 × 711 × 1911 × 51 × 231 × 591
LCM(27122,27140) = 368045540