What is the Least Common Multiple of 63289 and 63294?
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 63289 and 63294 is 4005813966.
LCM(63289,63294) = 4005813966
Least Common Multiple of 63289 and 63294 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63289 and 63294, than apply into the LCM equation.
GCF(63289,63294) = 1
LCM(63289,63294) = ( 63289 × 63294) / 1
LCM(63289,63294) = 4005813966 / 1
LCM(63289,63294) = 4005813966
Least Common Multiple (LCM) of 63289 and 63294 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63289 and 63294. First we will calculate the prime factors of 63289 and 63294.
Prime Factorization of 63289
Prime factors of 63289 are 19, 3331. Prime factorization of 63289 in exponential form is:
63289 = 191 × 33311
Prime Factorization of 63294
Prime factors of 63294 are 2, 3, 7, 11, 137. Prime factorization of 63294 in exponential form is:
63294 = 21 × 31 × 71 × 111 × 1371
Now multiplying the highest exponent prime factors to calculate the LCM of 63289 and 63294.
LCM(63289,63294) = 191 × 33311 × 21 × 31 × 71 × 111 × 1371
LCM(63289,63294) = 4005813966
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