What is the Least Common Multiple of 63986 and 63991?
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 63986 and 63991 is 4094528126.
LCM(63986,63991) = 4094528126
Least Common Multiple of 63986 and 63991 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63986 and 63991, than apply into the LCM equation.
GCF(63986,63991) = 1
LCM(63986,63991) = ( 63986 × 63991) / 1
LCM(63986,63991) = 4094528126 / 1
LCM(63986,63991) = 4094528126
Least Common Multiple (LCM) of 63986 and 63991 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63986 and 63991. First we will calculate the prime factors of 63986 and 63991.
Prime Factorization of 63986
Prime factors of 63986 are 2, 13, 23, 107. Prime factorization of 63986 in exponential form is:
63986 = 21 × 131 × 231 × 1071
Prime Factorization of 63991
Prime factors of 63991 are 89, 719. Prime factorization of 63991 in exponential form is:
63991 = 891 × 7191
Now multiplying the highest exponent prime factors to calculate the LCM of 63986 and 63991.
LCM(63986,63991) = 21 × 131 × 231 × 1071 × 891 × 7191
LCM(63986,63991) = 4094528126
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