What is the Least Common Multiple of 8055 and 8061?
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 8055 and 8061 is 21643785.
LCM(8055,8061) = 21643785
Least Common Multiple of 8055 and 8061 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8055 and 8061, than apply into the LCM equation.
GCF(8055,8061) = 3
LCM(8055,8061) = ( 8055 × 8061) / 3
LCM(8055,8061) = 64931355 / 3
LCM(8055,8061) = 21643785
Least Common Multiple (LCM) of 8055 and 8061 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8055 and 8061. First we will calculate the prime factors of 8055 and 8061.
Prime Factorization of 8055
Prime factors of 8055 are 3, 5, 179. Prime factorization of 8055 in exponential form is:
8055 = 32 × 51 × 1791
Prime Factorization of 8061
Prime factors of 8061 are 3, 2687. Prime factorization of 8061 in exponential form is:
8061 = 31 × 26871
Now multiplying the highest exponent prime factors to calculate the LCM of 8055 and 8061.
LCM(8055,8061) = 32 × 51 × 1791 × 26871
LCM(8055,8061) = 21643785
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