What is the Least Common Multiple of 63862 and 63873?
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 63862 and 63873 is 4079057526.
LCM(63862,63873) = 4079057526
Least Common Multiple of 63862 and 63873 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63862 and 63873, than apply into the LCM equation.
GCF(63862,63873) = 1
LCM(63862,63873) = ( 63862 × 63873) / 1
LCM(63862,63873) = 4079057526 / 1
LCM(63862,63873) = 4079057526
Least Common Multiple (LCM) of 63862 and 63873 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63862 and 63873. First we will calculate the prime factors of 63862 and 63873.
Prime Factorization of 63862
Prime factors of 63862 are 2, 37, 863. Prime factorization of 63862 in exponential form is:
63862 = 21 × 371 × 8631
Prime Factorization of 63873
Prime factors of 63873 are 3, 47, 151. Prime factorization of 63873 in exponential form is:
63873 = 32 × 471 × 1511
Now multiplying the highest exponent prime factors to calculate the LCM of 63862 and 63873.
LCM(63862,63873) = 21 × 371 × 8631 × 32 × 471 × 1511
LCM(63862,63873) = 4079057526
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