What is the Least Common Multiple of 65485 and 65494?
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 65485 and 65494 is 4288874590.
LCM(65485,65494) = 4288874590
Least Common Multiple of 65485 and 65494 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65485 and 65494, than apply into the LCM equation.
GCF(65485,65494) = 1
LCM(65485,65494) = ( 65485 × 65494) / 1
LCM(65485,65494) = 4288874590 / 1
LCM(65485,65494) = 4288874590
Least Common Multiple (LCM) of 65485 and 65494 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65485 and 65494. First we will calculate the prime factors of 65485 and 65494.
Prime Factorization of 65485
Prime factors of 65485 are 5, 7, 1871. Prime factorization of 65485 in exponential form is:
65485 = 51 × 71 × 18711
Prime Factorization of 65494
Prime factors of 65494 are 2, 11, 13, 229. Prime factorization of 65494 in exponential form is:
65494 = 21 × 111 × 131 × 2291
Now multiplying the highest exponent prime factors to calculate the LCM of 65485 and 65494.
LCM(65485,65494) = 51 × 71 × 18711 × 21 × 111 × 131 × 2291
LCM(65485,65494) = 4288874590
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