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What is the Least Common Multiple of 5401 and 5407?

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 5407 is 29203207.

LCM(5401,5407) = 29203207

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Least Common Multiple of 5401 and 5407 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 5407, than apply into the LCM equation.

GCF(5401,5407) = 1
LCM(5401,5407) = ( 5401 × 5407) / 1
LCM(5401,5407) = 29203207 / 1
LCM(5401,5407) = 29203207

Least Common Multiple (LCM) of 5401 and 5407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5401 and 5407. First we will calculate the prime factors of 5401 and 5407.

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 5407

Prime factors of 5407 are 5407. Prime factorization of 5407 in exponential form is:

5407 = 54071

Now multiplying the highest exponent prime factors to calculate the LCM of 5401 and 5407.

LCM(5401,5407) = 111 × 4911 × 54071
LCM(5401,5407) = 29203207