What is the Least Common Multiple of 63187 and 63193?
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 63187 and 63193 is 3992976091.
LCM(63187,63193) = 3992976091
Least Common Multiple of 63187 and 63193 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63187 and 63193, than apply into the LCM equation.
GCF(63187,63193) = 1
LCM(63187,63193) = ( 63187 × 63193) / 1
LCM(63187,63193) = 3992976091 / 1
LCM(63187,63193) = 3992976091
Least Common Multiple (LCM) of 63187 and 63193 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63187 and 63193. First we will calculate the prime factors of 63187 and 63193.
Prime Factorization of 63187
Prime factors of 63187 are 179, 353. Prime factorization of 63187 in exponential form is:
63187 = 1791 × 3531
Prime Factorization of 63193
Prime factors of 63193 are 13, 4861. Prime factorization of 63193 in exponential form is:
63193 = 131 × 48611
Now multiplying the highest exponent prime factors to calculate the LCM of 63187 and 63193.
LCM(63187,63193) = 1791 × 3531 × 131 × 48611
LCM(63187,63193) = 3992976091
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