What is the Least Common Multiple of 28055 and 28062?
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 28055 and 28062 is 787279410.
LCM(28055,28062) = 787279410
Least Common Multiple of 28055 and 28062 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28055 and 28062, than apply into the LCM equation.
GCF(28055,28062) = 1
LCM(28055,28062) = ( 28055 × 28062) / 1
LCM(28055,28062) = 787279410 / 1
LCM(28055,28062) = 787279410
Least Common Multiple (LCM) of 28055 and 28062 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 28055 and 28062. First we will calculate the prime factors of 28055 and 28062.
Prime Factorization of 28055
Prime factors of 28055 are 5, 31, 181. Prime factorization of 28055 in exponential form is:
28055 = 51 × 311 × 1811
Prime Factorization of 28062
Prime factors of 28062 are 2, 3, 1559. Prime factorization of 28062 in exponential form is:
28062 = 21 × 32 × 15591
Now multiplying the highest exponent prime factors to calculate the LCM of 28055 and 28062.
LCM(28055,28062) = 51 × 311 × 1811 × 21 × 32 × 15591
LCM(28055,28062) = 787279410
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