What is the Least Common Multiple of 63985 and 63989?
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 63985 and 63989 is 4094336165.
LCM(63985,63989) = 4094336165
Least Common Multiple of 63985 and 63989 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63985 and 63989, than apply into the LCM equation.
GCF(63985,63989) = 1
LCM(63985,63989) = ( 63985 × 63989) / 1
LCM(63985,63989) = 4094336165 / 1
LCM(63985,63989) = 4094336165
Least Common Multiple (LCM) of 63985 and 63989 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63985 and 63989. First we will calculate the prime factors of 63985 and 63989.
Prime Factorization of 63985
Prime factors of 63985 are 5, 67, 191. Prime factorization of 63985 in exponential form is:
63985 = 51 × 671 × 1911
Prime Factorization of 63989
Prime factors of 63989 are 61, 1049. Prime factorization of 63989 in exponential form is:
63989 = 611 × 10491
Now multiplying the highest exponent prime factors to calculate the LCM of 63985 and 63989.
LCM(63985,63989) = 51 × 671 × 1911 × 611 × 10491
LCM(63985,63989) = 4094336165
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