What is the Least Common Multiple of 63018 and 63029?
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 63018 and 63029 is 3971961522.
LCM(63018,63029) = 3971961522
Least Common Multiple of 63018 and 63029 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63018 and 63029, than apply into the LCM equation.
GCF(63018,63029) = 1
LCM(63018,63029) = ( 63018 × 63029) / 1
LCM(63018,63029) = 3971961522 / 1
LCM(63018,63029) = 3971961522
Least Common Multiple (LCM) of 63018 and 63029 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63018 and 63029. First we will calculate the prime factors of 63018 and 63029.
Prime Factorization of 63018
Prime factors of 63018 are 2, 3, 389. Prime factorization of 63018 in exponential form is:
63018 = 21 × 34 × 3891
Prime Factorization of 63029
Prime factors of 63029 are 63029. Prime factorization of 63029 in exponential form is:
63029 = 630291
Now multiplying the highest exponent prime factors to calculate the LCM of 63018 and 63029.
LCM(63018,63029) = 21 × 34 × 3891 × 630291
LCM(63018,63029) = 3971961522
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