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What is the Least Common Multiple of 27937 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 27937 and 27949 is 780811213.

LCM(27937,27949) = 780811213

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Least Common Multiple of 27937 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 27937 and 27949, than apply into the LCM equation.

GCF(27937,27949) = 1
LCM(27937,27949) = ( 27937 × 27949) / 1
LCM(27937,27949) = 780811213 / 1
LCM(27937,27949) = 780811213

Least Common Multiple (LCM) of 27937 and 27949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27937 and 27949. First we will calculate the prime factors of 27937 and 27949.

Prime Factorization of 27937

Prime factors of 27937 are 7, 13, 307. Prime factorization of 27937 in exponential form is:

27937 = 71 × 131 × 3071

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 27937 and 27949.

LCM(27937,27949) = 71 × 131 × 3071 × 191 × 14711
LCM(27937,27949) = 780811213