What is the Least Common Multiple of 63320 and 63326?
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 63326 is 2004901160.
LCM(63320,63326) = 2004901160
Least Common Multiple of 63320 and 63326 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 63326, than apply into the LCM equation.
GCF(63320,63326) = 2
LCM(63320,63326) = ( 63320 × 63326) / 2
LCM(63320,63326) = 4009802320 / 2
LCM(63320,63326) = 2004901160
Least Common Multiple (LCM) of 63320 and 63326 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63320 and 63326. First we will calculate the prime factors of 63320 and 63326.
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 63326
Prime factors of 63326 are 2, 31663. Prime factorization of 63326 in exponential form is:
63326 = 21 × 316631
Now multiplying the highest exponent prime factors to calculate the LCM of 63320 and 63326.
LCM(63320,63326) = 23 × 51 × 15831 × 316631
LCM(63320,63326) = 2004901160
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