What is the Least Common Multiple of 81837 and 81848?
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 81837 and 81848 is 6698194776.
LCM(81837,81848) = 6698194776
Least Common Multiple of 81837 and 81848 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81837 and 81848, than apply into the LCM equation.
GCF(81837,81848) = 1
LCM(81837,81848) = ( 81837 × 81848) / 1
LCM(81837,81848) = 6698194776 / 1
LCM(81837,81848) = 6698194776
Least Common Multiple (LCM) of 81837 and 81848 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 81837 and 81848. First we will calculate the prime factors of 81837 and 81848.
Prime Factorization of 81837
Prime factors of 81837 are 3, 7, 433. Prime factorization of 81837 in exponential form is:
81837 = 33 × 71 × 4331
Prime Factorization of 81848
Prime factors of 81848 are 2, 13, 787. Prime factorization of 81848 in exponential form is:
81848 = 23 × 131 × 7871
Now multiplying the highest exponent prime factors to calculate the LCM of 81837 and 81848.
LCM(81837,81848) = 33 × 71 × 4331 × 23 × 131 × 7871
LCM(81837,81848) = 6698194776
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