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What is the Least Common Multiple of 26932 and 26949?

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 26932 and 26949 is 725790468.

LCM(26932,26949) = 725790468

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Least Common Multiple of 26932 and 26949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26932 and 26949, than apply into the LCM equation.

GCF(26932,26949) = 1
LCM(26932,26949) = ( 26932 × 26949) / 1
LCM(26932,26949) = 725790468 / 1
LCM(26932,26949) = 725790468

Least Common Multiple (LCM) of 26932 and 26949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26932 and 26949. First we will calculate the prime factors of 26932 and 26949.

Prime Factorization of 26932

Prime factors of 26932 are 2, 6733. Prime factorization of 26932 in exponential form is:

26932 = 22 × 67331

Prime Factorization of 26949

Prime factors of 26949 are 3, 13, 691. Prime factorization of 26949 in exponential form is:

26949 = 31 × 131 × 6911

Now multiplying the highest exponent prime factors to calculate the LCM of 26932 and 26949.

LCM(26932,26949) = 22 × 67331 × 31 × 131 × 6911
LCM(26932,26949) = 725790468