What is the Least Common Multiple of 65335 and 65349?
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 65335 and 65349 is 4269576915.
LCM(65335,65349) = 4269576915
Least Common Multiple of 65335 and 65349 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65335 and 65349, than apply into the LCM equation.
GCF(65335,65349) = 1
LCM(65335,65349) = ( 65335 × 65349) / 1
LCM(65335,65349) = 4269576915 / 1
LCM(65335,65349) = 4269576915
Least Common Multiple (LCM) of 65335 and 65349 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65335 and 65349. First we will calculate the prime factors of 65335 and 65349.
Prime Factorization of 65335
Prime factors of 65335 are 5, 73, 179. Prime factorization of 65335 in exponential form is:
65335 = 51 × 731 × 1791
Prime Factorization of 65349
Prime factors of 65349 are 3, 53, 137. Prime factorization of 65349 in exponential form is:
65349 = 32 × 531 × 1371
Now multiplying the highest exponent prime factors to calculate the LCM of 65335 and 65349.
LCM(65335,65349) = 51 × 731 × 1791 × 32 × 531 × 1371
LCM(65335,65349) = 4269576915
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