What is the Least Common Multiple of 63256 and 63273?
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 63256 and 63273 is 4002396888.
LCM(63256,63273) = 4002396888
Least Common Multiple of 63256 and 63273 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63256 and 63273, than apply into the LCM equation.
GCF(63256,63273) = 1
LCM(63256,63273) = ( 63256 × 63273) / 1
LCM(63256,63273) = 4002396888 / 1
LCM(63256,63273) = 4002396888
Least Common Multiple (LCM) of 63256 and 63273 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63256 and 63273. First we will calculate the prime factors of 63256 and 63273.
Prime Factorization of 63256
Prime factors of 63256 are 2, 7907. Prime factorization of 63256 in exponential form is:
63256 = 23 × 79071
Prime Factorization of 63273
Prime factors of 63273 are 3, 7, 23, 131. Prime factorization of 63273 in exponential form is:
63273 = 31 × 71 × 231 × 1311
Now multiplying the highest exponent prime factors to calculate the LCM of 63256 and 63273.
LCM(63256,63273) = 23 × 79071 × 31 × 71 × 231 × 1311
LCM(63256,63273) = 4002396888
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