What is the Least Common Multiple of 64777 and 64790?
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 64790 is 4196901830.
LCM(64777,64790) = 4196901830
Least Common Multiple of 64777 and 64790 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 64790, than apply into the LCM equation.
GCF(64777,64790) = 1
LCM(64777,64790) = ( 64777 × 64790) / 1
LCM(64777,64790) = 4196901830 / 1
LCM(64777,64790) = 4196901830
Least Common Multiple (LCM) of 64777 and 64790 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64777 and 64790. First we will calculate the prime factors of 64777 and 64790.
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 64790
Prime factors of 64790 are 2, 5, 11, 19, 31. Prime factorization of 64790 in exponential form is:
64790 = 21 × 51 × 111 × 191 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 64777 and 64790.
LCM(64777,64790) = 2111 × 3071 × 21 × 51 × 111 × 191 × 311
LCM(64777,64790) = 4196901830
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