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What is the Least Common Multiple of 27940 and 27949?

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 27940 and 27949 is 780895060.

LCM(27940,27949) = 780895060

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Least Common Multiple of 27940 and 27949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27940 and 27949, than apply into the LCM equation.

GCF(27940,27949) = 1
LCM(27940,27949) = ( 27940 × 27949) / 1
LCM(27940,27949) = 780895060 / 1
LCM(27940,27949) = 780895060

Least Common Multiple (LCM) of 27940 and 27949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27940 and 27949. First we will calculate the prime factors of 27940 and 27949.

Prime Factorization of 27940

Prime factors of 27940 are 2, 5, 11, 127. Prime factorization of 27940 in exponential form is:

27940 = 22 × 51 × 111 × 1271

Prime Factorization of 27949

Prime factors of 27949 are 19, 1471. Prime factorization of 27949 in exponential form is:

27949 = 191 × 14711

Now multiplying the highest exponent prime factors to calculate the LCM of 27940 and 27949.

LCM(27940,27949) = 22 × 51 × 111 × 1271 × 191 × 14711
LCM(27940,27949) = 780895060