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What is the Least Common Multiple of 26888 and 26907?

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 26888 and 26907 is 723475416.

LCM(26888,26907) = 723475416

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Least Common Multiple of 26888 and 26907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26888 and 26907, than apply into the LCM equation.

GCF(26888,26907) = 1
LCM(26888,26907) = ( 26888 × 26907) / 1
LCM(26888,26907) = 723475416 / 1
LCM(26888,26907) = 723475416

Least Common Multiple (LCM) of 26888 and 26907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26888 and 26907. First we will calculate the prime factors of 26888 and 26907.

Prime Factorization of 26888

Prime factors of 26888 are 2, 3361. Prime factorization of 26888 in exponential form is:

26888 = 23 × 33611

Prime Factorization of 26907

Prime factors of 26907 are 3, 8969. Prime factorization of 26907 in exponential form is:

26907 = 31 × 89691

Now multiplying the highest exponent prime factors to calculate the LCM of 26888 and 26907.

LCM(26888,26907) = 23 × 33611 × 31 × 89691
LCM(26888,26907) = 723475416