What is the Least Common Multiple of 63812 and 63823?
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 63812 and 63823 is 4072673276.
LCM(63812,63823) = 4072673276
Least Common Multiple of 63812 and 63823 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63812 and 63823, than apply into the LCM equation.
GCF(63812,63823) = 1
LCM(63812,63823) = ( 63812 × 63823) / 1
LCM(63812,63823) = 4072673276 / 1
LCM(63812,63823) = 4072673276
Least Common Multiple (LCM) of 63812 and 63823 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63812 and 63823. First we will calculate the prime factors of 63812 and 63823.
Prime Factorization of 63812
Prime factors of 63812 are 2, 7, 43, 53. Prime factorization of 63812 in exponential form is:
63812 = 22 × 71 × 431 × 531
Prime Factorization of 63823
Prime factors of 63823 are 63823. Prime factorization of 63823 in exponential form is:
63823 = 638231
Now multiplying the highest exponent prime factors to calculate the LCM of 63812 and 63823.
LCM(63812,63823) = 22 × 71 × 431 × 531 × 638231
LCM(63812,63823) = 4072673276
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