What is the Least Common Multiple of 64155 and 64169?
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 64169 is 588108885.
LCM(64155,64169) = 588108885
Least Common Multiple of 64155 and 64169 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 64169, than apply into the LCM equation.
GCF(64155,64169) = 7
LCM(64155,64169) = ( 64155 × 64169) / 7
LCM(64155,64169) = 4116762195 / 7
LCM(64155,64169) = 588108885
Least Common Multiple (LCM) of 64155 and 64169 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64155 and 64169. First we will calculate the prime factors of 64155 and 64169.
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 64169
Prime factors of 64169 are 7, 89, 103. Prime factorization of 64169 in exponential form is:
64169 = 71 × 891 × 1031
Now multiplying the highest exponent prime factors to calculate the LCM of 64155 and 64169.
LCM(64155,64169) = 31 × 51 × 71 × 131 × 471 × 891 × 1031
LCM(64155,64169) = 588108885
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