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What is the Least Common Multiple of 8442 and 8454?

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 8442 and 8454 is 11894778.

LCM(8442,8454) = 11894778

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Least Common Multiple of 8442 and 8454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8442 and 8454, than apply into the LCM equation.

GCF(8442,8454) = 6
LCM(8442,8454) = ( 8442 × 8454) / 6
LCM(8442,8454) = 71368668 / 6
LCM(8442,8454) = 11894778

Least Common Multiple (LCM) of 8442 and 8454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8442 and 8454. First we will calculate the prime factors of 8442 and 8454.

Prime Factorization of 8442

Prime factors of 8442 are 2, 3, 7, 67. Prime factorization of 8442 in exponential form is:

8442 = 21 × 32 × 71 × 671

Prime Factorization of 8454

Prime factors of 8454 are 2, 3, 1409. Prime factorization of 8454 in exponential form is:

8454 = 21 × 31 × 14091

Now multiplying the highest exponent prime factors to calculate the LCM of 8442 and 8454.

LCM(8442,8454) = 21 × 32 × 71 × 671 × 14091
LCM(8442,8454) = 11894778