What is the Least Common Multiple of 63429 and 63443?
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 63429 and 63443 is 4024126047.
LCM(63429,63443) = 4024126047
Least Common Multiple of 63429 and 63443 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63429 and 63443, than apply into the LCM equation.
GCF(63429,63443) = 1
LCM(63429,63443) = ( 63429 × 63443) / 1
LCM(63429,63443) = 4024126047 / 1
LCM(63429,63443) = 4024126047
Least Common Multiple (LCM) of 63429 and 63443 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63429 and 63443. First we will calculate the prime factors of 63429 and 63443.
Prime Factorization of 63429
Prime factors of 63429 are 3, 21143. Prime factorization of 63429 in exponential form is:
63429 = 31 × 211431
Prime Factorization of 63443
Prime factors of 63443 are 63443. Prime factorization of 63443 in exponential form is:
63443 = 634431
Now multiplying the highest exponent prime factors to calculate the LCM of 63429 and 63443.
LCM(63429,63443) = 31 × 211431 × 634431
LCM(63429,63443) = 4024126047
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