What is the Least Common Multiple of 63670 and 63681?
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 63670 and 63681 is 4054569270.
LCM(63670,63681) = 4054569270
Least Common Multiple of 63670 and 63681 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63670 and 63681, than apply into the LCM equation.
GCF(63670,63681) = 1
LCM(63670,63681) = ( 63670 × 63681) / 1
LCM(63670,63681) = 4054569270 / 1
LCM(63670,63681) = 4054569270
Least Common Multiple (LCM) of 63670 and 63681 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63670 and 63681. First we will calculate the prime factors of 63670 and 63681.
Prime Factorization of 63670
Prime factors of 63670 are 2, 5, 6367. Prime factorization of 63670 in exponential form is:
63670 = 21 × 51 × 63671
Prime Factorization of 63681
Prime factors of 63681 are 3, 21227. Prime factorization of 63681 in exponential form is:
63681 = 31 × 212271
Now multiplying the highest exponent prime factors to calculate the LCM of 63670 and 63681.
LCM(63670,63681) = 21 × 51 × 63671 × 31 × 212271
LCM(63670,63681) = 4054569270
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