What is the Least Common Multiple of 63989 and 63999?
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 63989 and 63999 is 4095232011.
LCM(63989,63999) = 4095232011
Least Common Multiple of 63989 and 63999 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63989 and 63999, than apply into the LCM equation.
GCF(63989,63999) = 1
LCM(63989,63999) = ( 63989 × 63999) / 1
LCM(63989,63999) = 4095232011 / 1
LCM(63989,63999) = 4095232011
Least Common Multiple (LCM) of 63989 and 63999 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63989 and 63999. First we will calculate the prime factors of 63989 and 63999.
Prime Factorization of 63989
Prime factors of 63989 are 61, 1049. Prime factorization of 63989 in exponential form is:
63989 = 611 × 10491
Prime Factorization of 63999
Prime factors of 63999 are 3, 13, 547. Prime factorization of 63999 in exponential form is:
63999 = 32 × 131 × 5471
Now multiplying the highest exponent prime factors to calculate the LCM of 63989 and 63999.
LCM(63989,63999) = 611 × 10491 × 32 × 131 × 5471
LCM(63989,63999) = 4095232011
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