What is the Least Common Multiple of 63297 and 63301?
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 63297 and 63301 is 4006763397.
LCM(63297,63301) = 4006763397
Least Common Multiple of 63297 and 63301 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63297 and 63301, than apply into the LCM equation.
GCF(63297,63301) = 1
LCM(63297,63301) = ( 63297 × 63301) / 1
LCM(63297,63301) = 4006763397 / 1
LCM(63297,63301) = 4006763397
Least Common Multiple (LCM) of 63297 and 63301 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63297 and 63301. First we will calculate the prime factors of 63297 and 63301.
Prime Factorization of 63297
Prime factors of 63297 are 3, 13, 541. Prime factorization of 63297 in exponential form is:
63297 = 32 × 131 × 5411
Prime Factorization of 63301
Prime factors of 63301 are 7, 9043. Prime factorization of 63301 in exponential form is:
63301 = 71 × 90431
Now multiplying the highest exponent prime factors to calculate the LCM of 63297 and 63301.
LCM(63297,63301) = 32 × 131 × 5411 × 71 × 90431
LCM(63297,63301) = 4006763397
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