What is the Least Common Multiple of 64255 and 64273?
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 64255 and 64273 is 4129861615.
LCM(64255,64273) = 4129861615
Least Common Multiple of 64255 and 64273 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64255 and 64273, than apply into the LCM equation.
GCF(64255,64273) = 1
LCM(64255,64273) = ( 64255 × 64273) / 1
LCM(64255,64273) = 4129861615 / 1
LCM(64255,64273) = 4129861615
Least Common Multiple (LCM) of 64255 and 64273 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64255 and 64273. First we will calculate the prime factors of 64255 and 64273.
Prime Factorization of 64255
Prime factors of 64255 are 5, 71, 181. Prime factorization of 64255 in exponential form is:
64255 = 51 × 711 × 1811
Prime Factorization of 64273
Prime factors of 64273 are 11, 5843. Prime factorization of 64273 in exponential form is:
64273 = 111 × 58431
Now multiplying the highest exponent prime factors to calculate the LCM of 64255 and 64273.
LCM(64255,64273) = 51 × 711 × 1811 × 111 × 58431
LCM(64255,64273) = 4129861615
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