What is the Least Common Multiple of 64777 and 64794?
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 64777 and 64794 is 4197160938.
LCM(64777,64794) = 4197160938
Least Common Multiple of 64777 and 64794 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64777 and 64794, than apply into the LCM equation.
GCF(64777,64794) = 1
LCM(64777,64794) = ( 64777 × 64794) / 1
LCM(64777,64794) = 4197160938 / 1
LCM(64777,64794) = 4197160938
Least Common Multiple (LCM) of 64777 and 64794 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64777 and 64794. First we will calculate the prime factors of 64777 and 64794.
Prime Factorization of 64777
Prime factors of 64777 are 211, 307. Prime factorization of 64777 in exponential form is:
64777 = 2111 × 3071
Prime Factorization of 64794
Prime factors of 64794 are 2, 3, 10799. Prime factorization of 64794 in exponential form is:
64794 = 21 × 31 × 107991
Now multiplying the highest exponent prime factors to calculate the LCM of 64777 and 64794.
LCM(64777,64794) = 2111 × 3071 × 21 × 31 × 107991
LCM(64777,64794) = 4197160938
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