What is the Least Common Multiple of 65486 and 65506?
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 65486 and 65506 is 2144862958.
LCM(65486,65506) = 2144862958
Least Common Multiple of 65486 and 65506 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65486 and 65506, than apply into the LCM equation.
GCF(65486,65506) = 2
LCM(65486,65506) = ( 65486 × 65506) / 2
LCM(65486,65506) = 4289725916 / 2
LCM(65486,65506) = 2144862958
Least Common Multiple (LCM) of 65486 and 65506 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65486 and 65506. First we will calculate the prime factors of 65486 and 65506.
Prime Factorization of 65486
Prime factors of 65486 are 2, 137, 239. Prime factorization of 65486 in exponential form is:
65486 = 21 × 1371 × 2391
Prime Factorization of 65506
Prime factors of 65506 are 2, 7, 4679. Prime factorization of 65506 in exponential form is:
65506 = 21 × 71 × 46791
Now multiplying the highest exponent prime factors to calculate the LCM of 65486 and 65506.
LCM(65486,65506) = 21 × 1371 × 2391 × 71 × 46791
LCM(65486,65506) = 2144862958
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