What is the Least Common Multiple of 56767 and 56773?
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 56767 and 56773 is 3222832891.
LCM(56767,56773) = 3222832891
Least Common Multiple of 56767 and 56773 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56767 and 56773, than apply into the LCM equation.
GCF(56767,56773) = 1
LCM(56767,56773) = ( 56767 × 56773) / 1
LCM(56767,56773) = 3222832891 / 1
LCM(56767,56773) = 3222832891
Least Common Multiple (LCM) of 56767 and 56773 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56767 and 56773. First we will calculate the prime factors of 56767 and 56773.
Prime Factorization of 56767
Prime factors of 56767 are 56767. Prime factorization of 56767 in exponential form is:
56767 = 567671
Prime Factorization of 56773
Prime factors of 56773 are 56773. Prime factorization of 56773 in exponential form is:
56773 = 567731
Now multiplying the highest exponent prime factors to calculate the LCM of 56767 and 56773.
LCM(56767,56773) = 567671 × 567731
LCM(56767,56773) = 3222832891
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