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What is the Least Common Multiple of 5442 and 5451?

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 5442 and 5451 is 9888114.

LCM(5442,5451) = 9888114

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Least Common Multiple of 5442 and 5451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5442 and 5451, than apply into the LCM equation.

GCF(5442,5451) = 3
LCM(5442,5451) = ( 5442 × 5451) / 3
LCM(5442,5451) = 29664342 / 3
LCM(5442,5451) = 9888114

Least Common Multiple (LCM) of 5442 and 5451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5442 and 5451. First we will calculate the prime factors of 5442 and 5451.

Prime Factorization of 5442

Prime factors of 5442 are 2, 3, 907. Prime factorization of 5442 in exponential form is:

5442 = 21 × 31 × 9071

Prime Factorization of 5451

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

5451 = 31 × 231 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 5442 and 5451.

LCM(5442,5451) = 21 × 31 × 9071 × 231 × 791
LCM(5442,5451) = 9888114