What is the Least Common Multiple of 8822 and 8837?
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 8837 is 77960014.
LCM(8822,8837) = 77960014
Least Common Multiple of 8822 and 8837 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 8837, than apply into the LCM equation.
GCF(8822,8837) = 1
LCM(8822,8837) = ( 8822 × 8837) / 1
LCM(8822,8837) = 77960014 / 1
LCM(8822,8837) = 77960014
Least Common Multiple (LCM) of 8822 and 8837 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8822 and 8837. First we will calculate the prime factors of 8822 and 8837.
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 8837
Prime factors of 8837 are 8837. Prime factorization of 8837 in exponential form is:
8837 = 88371
Now multiplying the highest exponent prime factors to calculate the LCM of 8822 and 8837.
LCM(8822,8837) = 21 × 111 × 4011 × 88371
LCM(8822,8837) = 77960014
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