What is the Least Common Multiple of 84466 and 84472?
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 84466 and 84472 is 3567505976.
LCM(84466,84472) = 3567505976
Least Common Multiple of 84466 and 84472 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84466 and 84472, than apply into the LCM equation.
GCF(84466,84472) = 2
LCM(84466,84472) = ( 84466 × 84472) / 2
LCM(84466,84472) = 7135011952 / 2
LCM(84466,84472) = 3567505976
Least Common Multiple (LCM) of 84466 and 84472 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 84466 and 84472. First we will calculate the prime factors of 84466 and 84472.
Prime Factorization of 84466
Prime factors of 84466 are 2, 157, 269. Prime factorization of 84466 in exponential form is:
84466 = 21 × 1571 × 2691
Prime Factorization of 84472
Prime factors of 84472 are 2, 10559. Prime factorization of 84472 in exponential form is:
84472 = 23 × 105591
Now multiplying the highest exponent prime factors to calculate the LCM of 84466 and 84472.
LCM(84466,84472) = 23 × 1571 × 2691 × 105591
LCM(84466,84472) = 3567505976
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