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What is the Least Common Multiple of 5451 and 5457?

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 5451 and 5457 is 9915369.

LCM(5451,5457) = 9915369

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Least Common Multiple of 5451 and 5457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5451 and 5457, than apply into the LCM equation.

GCF(5451,5457) = 3
LCM(5451,5457) = ( 5451 × 5457) / 3
LCM(5451,5457) = 29746107 / 3
LCM(5451,5457) = 9915369

Least Common Multiple (LCM) of 5451 and 5457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5451 and 5457. First we will calculate the prime factors of 5451 and 5457.

Prime Factorization of 5451

Prime factors of 5451 are 3, 23, 79. Prime factorization of 5451 in exponential form is:

5451 = 31 × 231 × 791

Prime Factorization of 5457

Prime factors of 5457 are 3, 17, 107. Prime factorization of 5457 in exponential form is:

5457 = 31 × 171 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 5451 and 5457.

LCM(5451,5457) = 31 × 231 × 791 × 171 × 1071
LCM(5451,5457) = 9915369