What is the Least Common Multiple of 63879 and 63892?
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 63879 and 63892 is 4081357068.
LCM(63879,63892) = 4081357068
Least Common Multiple of 63879 and 63892 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63879 and 63892, than apply into the LCM equation.
GCF(63879,63892) = 1
LCM(63879,63892) = ( 63879 × 63892) / 1
LCM(63879,63892) = 4081357068 / 1
LCM(63879,63892) = 4081357068
Least Common Multiple (LCM) of 63879 and 63892 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63879 and 63892. First we will calculate the prime factors of 63879 and 63892.
Prime Factorization of 63879
Prime factors of 63879 are 3, 107, 199. Prime factorization of 63879 in exponential form is:
63879 = 31 × 1071 × 1991
Prime Factorization of 63892
Prime factors of 63892 are 2, 15973. Prime factorization of 63892 in exponential form is:
63892 = 22 × 159731
Now multiplying the highest exponent prime factors to calculate the LCM of 63879 and 63892.
LCM(63879,63892) = 31 × 1071 × 1991 × 22 × 159731
LCM(63879,63892) = 4081357068
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