What is the Least Common Multiple of 84044 and 84055?
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 84044 and 84055 is 7064318420.
LCM(84044,84055) = 7064318420
Least Common Multiple of 84044 and 84055 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84044 and 84055, than apply into the LCM equation.
GCF(84044,84055) = 1
LCM(84044,84055) = ( 84044 × 84055) / 1
LCM(84044,84055) = 7064318420 / 1
LCM(84044,84055) = 7064318420
Least Common Multiple (LCM) of 84044 and 84055 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84044 and 84055. First we will calculate the prime factors of 84044 and 84055.
Prime Factorization of 84044
Prime factors of 84044 are 2, 21011. Prime factorization of 84044 in exponential form is:
84044 = 22 × 210111
Prime Factorization of 84055
Prime factors of 84055 are 5, 16811. Prime factorization of 84055 in exponential form is:
84055 = 51 × 168111
Now multiplying the highest exponent prime factors to calculate the LCM of 84044 and 84055.
LCM(84044,84055) = 22 × 210111 × 51 × 168111
LCM(84044,84055) = 7064318420
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