What is the Least Common Multiple of 64155 and 64159?
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 64155 and 64159 is 4116120645.
LCM(64155,64159) = 4116120645
Least Common Multiple of 64155 and 64159 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64155 and 64159, than apply into the LCM equation.
GCF(64155,64159) = 1
LCM(64155,64159) = ( 64155 × 64159) / 1
LCM(64155,64159) = 4116120645 / 1
LCM(64155,64159) = 4116120645
Least Common Multiple (LCM) of 64155 and 64159 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64155 and 64159. First we will calculate the prime factors of 64155 and 64159.
Prime Factorization of 64155
Prime factors of 64155 are 3, 5, 7, 13, 47. Prime factorization of 64155 in exponential form is:
64155 = 31 × 51 × 71 × 131 × 471
Prime Factorization of 64159
Prime factors of 64159 are 83, 773. Prime factorization of 64159 in exponential form is:
64159 = 831 × 7731
Now multiplying the highest exponent prime factors to calculate the LCM of 64155 and 64159.
LCM(64155,64159) = 31 × 51 × 71 × 131 × 471 × 831 × 7731
LCM(64155,64159) = 4116120645
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