What is the Least Common Multiple of 8442 and 8449?
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 8449 is 10189494.
LCM(8442,8449) = 10189494
Least Common Multiple of 8442 and 8449 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 8449, than apply into the LCM equation.
GCF(8442,8449) = 7
LCM(8442,8449) = ( 8442 × 8449) / 7
LCM(8442,8449) = 71326458 / 7
LCM(8442,8449) = 10189494
Least Common Multiple (LCM) of 8442 and 8449 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8442 and 8449. First we will calculate the prime factors of 8442 and 8449.
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 8449
Prime factors of 8449 are 7, 17, 71. Prime factorization of 8449 in exponential form is:
8449 = 71 × 171 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 8442 and 8449.
LCM(8442,8449) = 21 × 32 × 71 × 671 × 171 × 711
LCM(8442,8449) = 10189494
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