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What is the Least Common Multiple of 5401 and 5421?

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 5401 and 5421 is 29278821.

LCM(5401,5421) = 29278821

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Least Common Multiple of 5401 and 5421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5401 and 5421, than apply into the LCM equation.

GCF(5401,5421) = 1
LCM(5401,5421) = ( 5401 × 5421) / 1
LCM(5401,5421) = 29278821 / 1
LCM(5401,5421) = 29278821

Least Common Multiple (LCM) of 5401 and 5421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5401 and 5421. First we will calculate the prime factors of 5401 and 5421.

Prime Factorization of 5401

Prime factors of 5401 are 11, 491. Prime factorization of 5401 in exponential form is:

5401 = 111 × 4911

Prime Factorization of 5421

Prime factors of 5421 are 3, 13, 139. Prime factorization of 5421 in exponential form is:

5421 = 31 × 131 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 5401 and 5421.

LCM(5401,5421) = 111 × 4911 × 31 × 131 × 1391
LCM(5401,5421) = 29278821