What is the Least Common Multiple of 63708 and 63713?
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 63708 and 63713 is 4059027804.
LCM(63708,63713) = 4059027804
Least Common Multiple of 63708 and 63713 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63708 and 63713, than apply into the LCM equation.
GCF(63708,63713) = 1
LCM(63708,63713) = ( 63708 × 63713) / 1
LCM(63708,63713) = 4059027804 / 1
LCM(63708,63713) = 4059027804
Least Common Multiple (LCM) of 63708 and 63713 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63708 and 63713. First we will calculate the prime factors of 63708 and 63713.
Prime Factorization of 63708
Prime factors of 63708 are 2, 3, 5309. Prime factorization of 63708 in exponential form is:
63708 = 22 × 31 × 53091
Prime Factorization of 63713
Prime factors of 63713 are 13, 29. Prime factorization of 63713 in exponential form is:
63713 = 133 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 63708 and 63713.
LCM(63708,63713) = 22 × 31 × 53091 × 133 × 291
LCM(63708,63713) = 4059027804
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