What is the Least Common Multiple of 64811 and 64822?
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 64811 and 64822 is 4201178642.
LCM(64811,64822) = 4201178642
Least Common Multiple of 64811 and 64822 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64811 and 64822, than apply into the LCM equation.
GCF(64811,64822) = 1
LCM(64811,64822) = ( 64811 × 64822) / 1
LCM(64811,64822) = 4201178642 / 1
LCM(64811,64822) = 4201178642
Least Common Multiple (LCM) of 64811 and 64822 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64811 and 64822. First we will calculate the prime factors of 64811 and 64822.
Prime Factorization of 64811
Prime factors of 64811 are 64811. Prime factorization of 64811 in exponential form is:
64811 = 648111
Prime Factorization of 64822
Prime factors of 64822 are 2, 32411. Prime factorization of 64822 in exponential form is:
64822 = 21 × 324111
Now multiplying the highest exponent prime factors to calculate the LCM of 64811 and 64822.
LCM(64811,64822) = 648111 × 21 × 324111
LCM(64811,64822) = 4201178642
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