What is the Least Common Multiple of 52777 and 52795?
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 52777 and 52795 is 2786361715.
LCM(52777,52795) = 2786361715
Least Common Multiple of 52777 and 52795 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52777 and 52795, than apply into the LCM equation.
GCF(52777,52795) = 1
LCM(52777,52795) = ( 52777 × 52795) / 1
LCM(52777,52795) = 2786361715 / 1
LCM(52777,52795) = 2786361715
Least Common Multiple (LCM) of 52777 and 52795 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52777 and 52795. First we will calculate the prime factors of 52777 and 52795.
Prime Factorization of 52777
Prime factors of 52777 are 89, 593. Prime factorization of 52777 in exponential form is:
52777 = 891 × 5931
Prime Factorization of 52795
Prime factors of 52795 are 5, 10559. Prime factorization of 52795 in exponential form is:
52795 = 51 × 105591
Now multiplying the highest exponent prime factors to calculate the LCM of 52777 and 52795.
LCM(52777,52795) = 891 × 5931 × 51 × 105591
LCM(52777,52795) = 2786361715
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