What is the Least Common Multiple of 63319 and 63339?
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 63319 and 63339 is 4010562141.
LCM(63319,63339) = 4010562141
Least Common Multiple of 63319 and 63339 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63319 and 63339, than apply into the LCM equation.
GCF(63319,63339) = 1
LCM(63319,63339) = ( 63319 × 63339) / 1
LCM(63319,63339) = 4010562141 / 1
LCM(63319,63339) = 4010562141
Least Common Multiple (LCM) of 63319 and 63339 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63319 and 63339. First we will calculate the prime factors of 63319 and 63339.
Prime Factorization of 63319
Prime factors of 63319 are 23, 2753. Prime factorization of 63319 in exponential form is:
63319 = 231 × 27531
Prime Factorization of 63339
Prime factors of 63339 are 3, 43, 491. Prime factorization of 63339 in exponential form is:
63339 = 31 × 431 × 4911
Now multiplying the highest exponent prime factors to calculate the LCM of 63319 and 63339.
LCM(63319,63339) = 231 × 27531 × 31 × 431 × 4911
LCM(63319,63339) = 4010562141
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