What is the Least Common Multiple of 65675 and 65686?
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 65675 and 65686 is 4313928050.
LCM(65675,65686) = 4313928050
Least Common Multiple of 65675 and 65686 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65675 and 65686, than apply into the LCM equation.
GCF(65675,65686) = 1
LCM(65675,65686) = ( 65675 × 65686) / 1
LCM(65675,65686) = 4313928050 / 1
LCM(65675,65686) = 4313928050
Least Common Multiple (LCM) of 65675 and 65686 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65675 and 65686. First we will calculate the prime factors of 65675 and 65686.
Prime Factorization of 65675
Prime factors of 65675 are 5, 37, 71. Prime factorization of 65675 in exponential form is:
65675 = 52 × 371 × 711
Prime Factorization of 65686
Prime factors of 65686 are 2, 32843. Prime factorization of 65686 in exponential form is:
65686 = 21 × 328431
Now multiplying the highest exponent prime factors to calculate the LCM of 65675 and 65686.
LCM(65675,65686) = 52 × 371 × 711 × 21 × 328431
LCM(65675,65686) = 4313928050
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