What is the Least Common Multiple of 56664 and 56673?
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 56664 and 56673 is 356813208.
LCM(56664,56673) = 356813208
Least Common Multiple of 56664 and 56673 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56664 and 56673, than apply into the LCM equation.
GCF(56664,56673) = 9
LCM(56664,56673) = ( 56664 × 56673) / 9
LCM(56664,56673) = 3211318872 / 9
LCM(56664,56673) = 356813208
Least Common Multiple (LCM) of 56664 and 56673 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56664 and 56673. First we will calculate the prime factors of 56664 and 56673.
Prime Factorization of 56664
Prime factors of 56664 are 2, 3, 787. Prime factorization of 56664 in exponential form is:
56664 = 23 × 32 × 7871
Prime Factorization of 56673
Prime factors of 56673 are 3, 2099. Prime factorization of 56673 in exponential form is:
56673 = 33 × 20991
Now multiplying the highest exponent prime factors to calculate the LCM of 56664 and 56673.
LCM(56664,56673) = 23 × 33 × 7871 × 20991
LCM(56664,56673) = 356813208
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