What is the Least Common Multiple of 8822 and 8841?
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 8822 and 8841 is 77995302.
LCM(8822,8841) = 77995302
Least Common Multiple of 8822 and 8841 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8822 and 8841, than apply into the LCM equation.
GCF(8822,8841) = 1
LCM(8822,8841) = ( 8822 × 8841) / 1
LCM(8822,8841) = 77995302 / 1
LCM(8822,8841) = 77995302
Least Common Multiple (LCM) of 8822 and 8841 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8822 and 8841. First we will calculate the prime factors of 8822 and 8841.
Prime Factorization of 8822
Prime factors of 8822 are 2, 11, 401. Prime factorization of 8822 in exponential form is:
8822 = 21 × 111 × 4011
Prime Factorization of 8841
Prime factors of 8841 are 3, 7, 421. Prime factorization of 8841 in exponential form is:
8841 = 31 × 71 × 4211
Now multiplying the highest exponent prime factors to calculate the LCM of 8822 and 8841.
LCM(8822,8841) = 21 × 111 × 4011 × 31 × 71 × 4211
LCM(8822,8841) = 77995302
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