What is the Least Common Multiple of 63740 and 63744?
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 63740 and 63744 is 1015760640.
LCM(63740,63744) = 1015760640
Least Common Multiple of 63740 and 63744 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63740 and 63744, than apply into the LCM equation.
GCF(63740,63744) = 4
LCM(63740,63744) = ( 63740 × 63744) / 4
LCM(63740,63744) = 4063042560 / 4
LCM(63740,63744) = 1015760640
Least Common Multiple (LCM) of 63740 and 63744 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63740 and 63744. First we will calculate the prime factors of 63740 and 63744.
Prime Factorization of 63740
Prime factors of 63740 are 2, 5, 3187. Prime factorization of 63740 in exponential form is:
63740 = 22 × 51 × 31871
Prime Factorization of 63744
Prime factors of 63744 are 2, 3, 83. Prime factorization of 63744 in exponential form is:
63744 = 28 × 31 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 63740 and 63744.
LCM(63740,63744) = 28 × 51 × 31871 × 31 × 831
LCM(63740,63744) = 1015760640
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