What is the Least Common Multiple of 64159 and 64163?
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 64159 and 64163 is 4116633917.
LCM(64159,64163) = 4116633917
Least Common Multiple of 64159 and 64163 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64159 and 64163, than apply into the LCM equation.
GCF(64159,64163) = 1
LCM(64159,64163) = ( 64159 × 64163) / 1
LCM(64159,64163) = 4116633917 / 1
LCM(64159,64163) = 4116633917
Least Common Multiple (LCM) of 64159 and 64163 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64159 and 64163. First we will calculate the prime factors of 64159 and 64163.
Prime Factorization of 64159
Prime factors of 64159 are 83, 773. Prime factorization of 64159 in exponential form is:
64159 = 831 × 7731
Prime Factorization of 64163
Prime factors of 64163 are 11, 19, 307. Prime factorization of 64163 in exponential form is:
64163 = 111 × 191 × 3071
Now multiplying the highest exponent prime factors to calculate the LCM of 64159 and 64163.
LCM(64159,64163) = 831 × 7731 × 111 × 191 × 3071
LCM(64159,64163) = 4116633917
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