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What is the Least Common Multiple of 27481 and 27490?

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 27481 and 27490 is 755452690.

LCM(27481,27490) = 755452690

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Least Common Multiple of 27481 and 27490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27481 and 27490, than apply into the LCM equation.

GCF(27481,27490) = 1
LCM(27481,27490) = ( 27481 × 27490) / 1
LCM(27481,27490) = 755452690 / 1
LCM(27481,27490) = 755452690

Least Common Multiple (LCM) of 27481 and 27490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27481 and 27490. First we will calculate the prime factors of 27481 and 27490.

Prime Factorization of 27481

Prime factors of 27481 are 27481. Prime factorization of 27481 in exponential form is:

27481 = 274811

Prime Factorization of 27490

Prime factors of 27490 are 2, 5, 2749. Prime factorization of 27490 in exponential form is:

27490 = 21 × 51 × 27491

Now multiplying the highest exponent prime factors to calculate the LCM of 27481 and 27490.

LCM(27481,27490) = 274811 × 21 × 51 × 27491
LCM(27481,27490) = 755452690