What is the Least Common Multiple of 65155 and 65159?
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 65155 and 65159 is 4245434645.
LCM(65155,65159) = 4245434645
Least Common Multiple of 65155 and 65159 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65155 and 65159, than apply into the LCM equation.
GCF(65155,65159) = 1
LCM(65155,65159) = ( 65155 × 65159) / 1
LCM(65155,65159) = 4245434645 / 1
LCM(65155,65159) = 4245434645
Least Common Multiple (LCM) of 65155 and 65159 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65155 and 65159. First we will calculate the prime factors of 65155 and 65159.
Prime Factorization of 65155
Prime factors of 65155 are 5, 83, 157. Prime factorization of 65155 in exponential form is:
65155 = 51 × 831 × 1571
Prime Factorization of 65159
Prime factors of 65159 are 23, 2833. Prime factorization of 65159 in exponential form is:
65159 = 231 × 28331
Now multiplying the highest exponent prime factors to calculate the LCM of 65155 and 65159.
LCM(65155,65159) = 51 × 831 × 1571 × 231 × 28331
LCM(65155,65159) = 4245434645
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