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What is the Least Common Multiple of 26949 and 26953?

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 26949 and 26953 is 726356397.

LCM(26949,26953) = 726356397

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Least Common Multiple of 26949 and 26953 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26949 and 26953, than apply into the LCM equation.

GCF(26949,26953) = 1
LCM(26949,26953) = ( 26949 × 26953) / 1
LCM(26949,26953) = 726356397 / 1
LCM(26949,26953) = 726356397

Least Common Multiple (LCM) of 26949 and 26953 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26949 and 26953. First we will calculate the prime factors of 26949 and 26953.

Prime Factorization of 26949

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

26949 = 31 × 131 × 6911

Prime Factorization of 26953

Prime factors of 26953 are 26953. Prime factorization of 26953 in exponential form is:

26953 = 269531

Now multiplying the highest exponent prime factors to calculate the LCM of 26949 and 26953.

LCM(26949,26953) = 31 × 131 × 6911 × 269531
LCM(26949,26953) = 726356397