What is the Least Common Multiple of 64313 and 64331?
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 64313 and 64331 is 4137319603.
LCM(64313,64331) = 4137319603
Least Common Multiple of 64313 and 64331 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64313 and 64331, than apply into the LCM equation.
GCF(64313,64331) = 1
LCM(64313,64331) = ( 64313 × 64331) / 1
LCM(64313,64331) = 4137319603 / 1
LCM(64313,64331) = 4137319603
Least Common Multiple (LCM) of 64313 and 64331 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64313 and 64331. First we will calculate the prime factors of 64313 and 64331.
Prime Factorization of 64313
Prime factors of 64313 are 73, 881. Prime factorization of 64313 in exponential form is:
64313 = 731 × 8811
Prime Factorization of 64331
Prime factors of 64331 are 23, 2797. Prime factorization of 64331 in exponential form is:
64331 = 231 × 27971
Now multiplying the highest exponent prime factors to calculate the LCM of 64313 and 64331.
LCM(64313,64331) = 731 × 8811 × 231 × 27971
LCM(64313,64331) = 4137319603
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