What is the Least Common Multiple of 56664 and 56681?
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 56681 is 3211772184.
LCM(56664,56681) = 3211772184
Least Common Multiple of 56664 and 56681 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 56681, than apply into the LCM equation.
GCF(56664,56681) = 1
LCM(56664,56681) = ( 56664 × 56681) / 1
LCM(56664,56681) = 3211772184 / 1
LCM(56664,56681) = 3211772184
Least Common Multiple (LCM) of 56664 and 56681 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56664 and 56681. First we will calculate the prime factors of 56664 and 56681.
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 56681
Prime factors of 56681 are 56681. Prime factorization of 56681 in exponential form is:
56681 = 566811
Now multiplying the highest exponent prime factors to calculate the LCM of 56664 and 56681.
LCM(56664,56681) = 23 × 32 × 7871 × 566811
LCM(56664,56681) = 3211772184
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