What is the Least Common Multiple of 63914 and 63929?
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 63914 and 63929 is 4085958106.
LCM(63914,63929) = 4085958106
Least Common Multiple of 63914 and 63929 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63914 and 63929, than apply into the LCM equation.
GCF(63914,63929) = 1
LCM(63914,63929) = ( 63914 × 63929) / 1
LCM(63914,63929) = 4085958106 / 1
LCM(63914,63929) = 4085958106
Least Common Multiple (LCM) of 63914 and 63929 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63914 and 63929. First we will calculate the prime factors of 63914 and 63929.
Prime Factorization of 63914
Prime factors of 63914 are 2, 31957. Prime factorization of 63914 in exponential form is:
63914 = 21 × 319571
Prime Factorization of 63929
Prime factors of 63929 are 63929. Prime factorization of 63929 in exponential form is:
63929 = 639291
Now multiplying the highest exponent prime factors to calculate the LCM of 63914 and 63929.
LCM(63914,63929) = 21 × 319571 × 639291
LCM(63914,63929) = 4085958106
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