What is the Least Common Multiple of 63224 and 63241?
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 63224 and 63241 is 3998348984.
LCM(63224,63241) = 3998348984
Least Common Multiple of 63224 and 63241 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63224 and 63241, than apply into the LCM equation.
GCF(63224,63241) = 1
LCM(63224,63241) = ( 63224 × 63241) / 1
LCM(63224,63241) = 3998348984 / 1
LCM(63224,63241) = 3998348984
Least Common Multiple (LCM) of 63224 and 63241 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63224 and 63241. First we will calculate the prime factors of 63224 and 63241.
Prime Factorization of 63224
Prime factors of 63224 are 2, 7, 1129. Prime factorization of 63224 in exponential form is:
63224 = 23 × 71 × 11291
Prime Factorization of 63241
Prime factors of 63241 are 63241. Prime factorization of 63241 in exponential form is:
63241 = 632411
Now multiplying the highest exponent prime factors to calculate the LCM of 63224 and 63241.
LCM(63224,63241) = 23 × 71 × 11291 × 632411
LCM(63224,63241) = 3998348984
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