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What is the Least Common Multiple of 26901 and 26921?

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 26901 and 26921 is 724201821.

LCM(26901,26921) = 724201821

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Least Common Multiple of 26901 and 26921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26901 and 26921, than apply into the LCM equation.

GCF(26901,26921) = 1
LCM(26901,26921) = ( 26901 × 26921) / 1
LCM(26901,26921) = 724201821 / 1
LCM(26901,26921) = 724201821

Least Common Multiple (LCM) of 26901 and 26921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26901 and 26921. First we will calculate the prime factors of 26901 and 26921.

Prime Factorization of 26901

Prime factors of 26901 are 3, 7, 61. Prime factorization of 26901 in exponential form is:

26901 = 32 × 72 × 611

Prime Factorization of 26921

Prime factors of 26921 are 26921. Prime factorization of 26921 in exponential form is:

26921 = 269211

Now multiplying the highest exponent prime factors to calculate the LCM of 26901 and 26921.

LCM(26901,26921) = 32 × 72 × 611 × 269211
LCM(26901,26921) = 724201821