What is the Least Common Multiple of 84826 and 84837?
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 84826 and 84837 is 7196383362.
LCM(84826,84837) = 7196383362
Least Common Multiple of 84826 and 84837 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84826 and 84837, than apply into the LCM equation.
GCF(84826,84837) = 1
LCM(84826,84837) = ( 84826 × 84837) / 1
LCM(84826,84837) = 7196383362 / 1
LCM(84826,84837) = 7196383362
Least Common Multiple (LCM) of 84826 and 84837 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84826 and 84837. First we will calculate the prime factors of 84826 and 84837.
Prime Factorization of 84826
Prime factors of 84826 are 2, 7, 73, 83. Prime factorization of 84826 in exponential form is:
84826 = 21 × 71 × 731 × 831
Prime Factorization of 84837
Prime factors of 84837 are 3, 28279. Prime factorization of 84837 in exponential form is:
84837 = 31 × 282791
Now multiplying the highest exponent prime factors to calculate the LCM of 84826 and 84837.
LCM(84826,84837) = 21 × 71 × 731 × 831 × 31 × 282791
LCM(84826,84837) = 7196383362
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