What is the Least Common Multiple of 64682 and 64687?
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 64682 and 64687 is 4184084534.
LCM(64682,64687) = 4184084534
Least Common Multiple of 64682 and 64687 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64682 and 64687, than apply into the LCM equation.
GCF(64682,64687) = 1
LCM(64682,64687) = ( 64682 × 64687) / 1
LCM(64682,64687) = 4184084534 / 1
LCM(64682,64687) = 4184084534
Least Common Multiple (LCM) of 64682 and 64687 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64682 and 64687. First we will calculate the prime factors of 64682 and 64687.
Prime Factorization of 64682
Prime factors of 64682 are 2, 32341. Prime factorization of 64682 in exponential form is:
64682 = 21 × 323411
Prime Factorization of 64687
Prime factors of 64687 are 7, 9241. Prime factorization of 64687 in exponential form is:
64687 = 71 × 92411
Now multiplying the highest exponent prime factors to calculate the LCM of 64682 and 64687.
LCM(64682,64687) = 21 × 323411 × 71 × 92411
LCM(64682,64687) = 4184084534
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