What is the Least Common Multiple of 63320 and 63327?
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 63320 and 63327 is 4009865640.
LCM(63320,63327) = 4009865640
Least Common Multiple of 63320 and 63327 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63320 and 63327, than apply into the LCM equation.
GCF(63320,63327) = 1
LCM(63320,63327) = ( 63320 × 63327) / 1
LCM(63320,63327) = 4009865640 / 1
LCM(63320,63327) = 4009865640
Least Common Multiple (LCM) of 63320 and 63327 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63320 and 63327. First we will calculate the prime factors of 63320 and 63327.
Prime Factorization of 63320
Prime factors of 63320 are 2, 5, 1583. Prime factorization of 63320 in exponential form is:
63320 = 23 × 51 × 15831
Prime Factorization of 63327
Prime factors of 63327 are 3, 11, 19, 101. Prime factorization of 63327 in exponential form is:
63327 = 31 × 111 × 191 × 1011
Now multiplying the highest exponent prime factors to calculate the LCM of 63320 and 63327.
LCM(63320,63327) = 23 × 51 × 15831 × 31 × 111 × 191 × 1011
LCM(63320,63327) = 4009865640
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