What is the Least Common Multiple of 63326 and 63341?
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 63326 and 63341 is 4011132166.
LCM(63326,63341) = 4011132166
Least Common Multiple of 63326 and 63341 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63326 and 63341, than apply into the LCM equation.
GCF(63326,63341) = 1
LCM(63326,63341) = ( 63326 × 63341) / 1
LCM(63326,63341) = 4011132166 / 1
LCM(63326,63341) = 4011132166
Least Common Multiple (LCM) of 63326 and 63341 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63326 and 63341. First we will calculate the prime factors of 63326 and 63341.
Prime Factorization of 63326
Prime factors of 63326 are 2, 31663. Prime factorization of 63326 in exponential form is:
63326 = 21 × 316631
Prime Factorization of 63341
Prime factors of 63341 are 97, 653. Prime factorization of 63341 in exponential form is:
63341 = 971 × 6531
Now multiplying the highest exponent prime factors to calculate the LCM of 63326 and 63341.
LCM(63326,63341) = 21 × 316631 × 971 × 6531
LCM(63326,63341) = 4011132166
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