What is the Least Common Multiple of 63687 and 63701?
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 63687 and 63701 is 4056925587.
LCM(63687,63701) = 4056925587
Least Common Multiple of 63687 and 63701 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63687 and 63701, than apply into the LCM equation.
GCF(63687,63701) = 1
LCM(63687,63701) = ( 63687 × 63701) / 1
LCM(63687,63701) = 4056925587 / 1
LCM(63687,63701) = 4056925587
Least Common Multiple (LCM) of 63687 and 63701 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63687 and 63701. First we will calculate the prime factors of 63687 and 63701.
Prime Factorization of 63687
Prime factors of 63687 are 3, 13, 23, 71. Prime factorization of 63687 in exponential form is:
63687 = 31 × 131 × 231 × 711
Prime Factorization of 63701
Prime factors of 63701 are 11, 5791. Prime factorization of 63701 in exponential form is:
63701 = 111 × 57911
Now multiplying the highest exponent prime factors to calculate the LCM of 63687 and 63701.
LCM(63687,63701) = 31 × 131 × 231 × 711 × 111 × 57911
LCM(63687,63701) = 4056925587
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