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What is the Least Common Multiple of 27698 and 27707?

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 27698 and 27707 is 767428486.

LCM(27698,27707) = 767428486

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Least Common Multiple of 27698 and 27707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27698 and 27707, than apply into the LCM equation.

GCF(27698,27707) = 1
LCM(27698,27707) = ( 27698 × 27707) / 1
LCM(27698,27707) = 767428486 / 1
LCM(27698,27707) = 767428486

Least Common Multiple (LCM) of 27698 and 27707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27698 and 27707. First we will calculate the prime factors of 27698 and 27707.

Prime Factorization of 27698

Prime factors of 27698 are 2, 11, 1259. Prime factorization of 27698 in exponential form is:

27698 = 21 × 111 × 12591

Prime Factorization of 27707

Prime factors of 27707 are 103, 269. Prime factorization of 27707 in exponential form is:

27707 = 1031 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 27698 and 27707.

LCM(27698,27707) = 21 × 111 × 12591 × 1031 × 2691
LCM(27698,27707) = 767428486