What is the Least Common Multiple of 64765 and 64785?
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 64765 and 64785 is 839160105.
LCM(64765,64785) = 839160105
Least Common Multiple of 64765 and 64785 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64765 and 64785, than apply into the LCM equation.
GCF(64765,64785) = 5
LCM(64765,64785) = ( 64765 × 64785) / 5
LCM(64765,64785) = 4195800525 / 5
LCM(64765,64785) = 839160105
Least Common Multiple (LCM) of 64765 and 64785 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64765 and 64785. First we will calculate the prime factors of 64765 and 64785.
Prime Factorization of 64765
Prime factors of 64765 are 5, 12953. Prime factorization of 64765 in exponential form is:
64765 = 51 × 129531
Prime Factorization of 64785
Prime factors of 64785 are 3, 5, 7, 617. Prime factorization of 64785 in exponential form is:
64785 = 31 × 51 × 71 × 6171
Now multiplying the highest exponent prime factors to calculate the LCM of 64765 and 64785.
LCM(64765,64785) = 51 × 129531 × 31 × 71 × 6171
LCM(64765,64785) = 839160105
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