What is the Least Common Multiple of 65236 and 65255?
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 65236 and 65255 is 4256975180.
LCM(65236,65255) = 4256975180
Least Common Multiple of 65236 and 65255 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65236 and 65255, than apply into the LCM equation.
GCF(65236,65255) = 1
LCM(65236,65255) = ( 65236 × 65255) / 1
LCM(65236,65255) = 4256975180 / 1
LCM(65236,65255) = 4256975180
Least Common Multiple (LCM) of 65236 and 65255 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65236 and 65255. First we will calculate the prime factors of 65236 and 65255.
Prime Factorization of 65236
Prime factors of 65236 are 2, 47, 347. Prime factorization of 65236 in exponential form is:
65236 = 22 × 471 × 3471
Prime Factorization of 65255
Prime factors of 65255 are 5, 31, 421. Prime factorization of 65255 in exponential form is:
65255 = 51 × 311 × 4211
Now multiplying the highest exponent prime factors to calculate the LCM of 65236 and 65255.
LCM(65236,65255) = 22 × 471 × 3471 × 51 × 311 × 4211
LCM(65236,65255) = 4256975180
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