What is the Least Common Multiple of 8218 and 8237?
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 8218 and 8237 is 67691666.
LCM(8218,8237) = 67691666
Least Common Multiple of 8218 and 8237 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8218 and 8237, than apply into the LCM equation.
GCF(8218,8237) = 1
LCM(8218,8237) = ( 8218 × 8237) / 1
LCM(8218,8237) = 67691666 / 1
LCM(8218,8237) = 67691666
Least Common Multiple (LCM) of 8218 and 8237 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8218 and 8237. First we will calculate the prime factors of 8218 and 8237.
Prime Factorization of 8218
Prime factors of 8218 are 2, 7, 587. Prime factorization of 8218 in exponential form is:
8218 = 21 × 71 × 5871
Prime Factorization of 8237
Prime factors of 8237 are 8237. Prime factorization of 8237 in exponential form is:
8237 = 82371
Now multiplying the highest exponent prime factors to calculate the LCM of 8218 and 8237.
LCM(8218,8237) = 21 × 71 × 5871 × 82371
LCM(8218,8237) = 67691666
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