What is the Least Common Multiple of 63915 and 63928?
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 63915 and 63928 is 4085958120.
LCM(63915,63928) = 4085958120
Least Common Multiple of 63915 and 63928 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63915 and 63928, than apply into the LCM equation.
GCF(63915,63928) = 1
LCM(63915,63928) = ( 63915 × 63928) / 1
LCM(63915,63928) = 4085958120 / 1
LCM(63915,63928) = 4085958120
Least Common Multiple (LCM) of 63915 and 63928 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63915 and 63928. First we will calculate the prime factors of 63915 and 63928.
Prime Factorization of 63915
Prime factors of 63915 are 3, 5, 4261. Prime factorization of 63915 in exponential form is:
63915 = 31 × 51 × 42611
Prime Factorization of 63928
Prime factors of 63928 are 2, 61, 131. Prime factorization of 63928 in exponential form is:
63928 = 23 × 611 × 1311
Now multiplying the highest exponent prime factors to calculate the LCM of 63915 and 63928.
LCM(63915,63928) = 31 × 51 × 42611 × 23 × 611 × 1311
LCM(63915,63928) = 4085958120
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