What is the Least Common Multiple of 87818 and 87837?
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 87818 and 87837 is 405982614.
LCM(87818,87837) = 405982614
Least Common Multiple of 87818 and 87837 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87818 and 87837, than apply into the LCM equation.
GCF(87818,87837) = 19
LCM(87818,87837) = ( 87818 × 87837) / 19
LCM(87818,87837) = 7713669666 / 19
LCM(87818,87837) = 405982614
Least Common Multiple (LCM) of 87818 and 87837 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 87818 and 87837. First we will calculate the prime factors of 87818 and 87837.
Prime Factorization of 87818
Prime factors of 87818 are 2, 19, 2311. Prime factorization of 87818 in exponential form is:
87818 = 21 × 191 × 23111
Prime Factorization of 87837
Prime factors of 87837 are 3, 19, 23, 67. Prime factorization of 87837 in exponential form is:
87837 = 31 × 191 × 231 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 87818 and 87837.
LCM(87818,87837) = 21 × 191 × 23111 × 31 × 231 × 671
LCM(87818,87837) = 405982614
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