What is the Least Common Multiple of 83813 and 83818?
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 83813 and 83818 is 7025038034.
LCM(83813,83818) = 7025038034
Least Common Multiple of 83813 and 83818 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83813 and 83818, than apply into the LCM equation.
GCF(83813,83818) = 1
LCM(83813,83818) = ( 83813 × 83818) / 1
LCM(83813,83818) = 7025038034 / 1
LCM(83813,83818) = 7025038034
Least Common Multiple (LCM) of 83813 and 83818 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 83813 and 83818. First we will calculate the prime factors of 83813 and 83818.
Prime Factorization of 83813
Prime factors of 83813 are 83813. Prime factorization of 83813 in exponential form is:
83813 = 838131
Prime Factorization of 83818
Prime factors of 83818 are 2, 7, 5987. Prime factorization of 83818 in exponential form is:
83818 = 21 × 71 × 59871
Now multiplying the highest exponent prime factors to calculate the LCM of 83813 and 83818.
LCM(83813,83818) = 838131 × 21 × 71 × 59871
LCM(83813,83818) = 7025038034
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