What is the Least Common Multiple of 8802 and 8806?
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 8802 and 8806 is 38755206.
LCM(8802,8806) = 38755206
Least Common Multiple of 8802 and 8806 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8802 and 8806, than apply into the LCM equation.
GCF(8802,8806) = 2
LCM(8802,8806) = ( 8802 × 8806) / 2
LCM(8802,8806) = 77510412 / 2
LCM(8802,8806) = 38755206
Least Common Multiple (LCM) of 8802 and 8806 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8802 and 8806. First we will calculate the prime factors of 8802 and 8806.
Prime Factorization of 8802
Prime factors of 8802 are 2, 3, 163. Prime factorization of 8802 in exponential form is:
8802 = 21 × 33 × 1631
Prime Factorization of 8806
Prime factors of 8806 are 2, 7, 17, 37. Prime factorization of 8806 in exponential form is:
8806 = 21 × 71 × 171 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 8802 and 8806.
LCM(8802,8806) = 21 × 33 × 1631 × 71 × 171 × 371
LCM(8802,8806) = 38755206
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