What is the Least Common Multiple of 52783 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 52783 and 52795 is 2786678485.
LCM(52783,52795) = 2786678485
Least Common Multiple of 52783 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 52783 and 52795, than apply into the LCM equation.
GCF(52783,52795) = 1
LCM(52783,52795) = ( 52783 × 52795) / 1
LCM(52783,52795) = 2786678485 / 1
LCM(52783,52795) = 2786678485
Least Common Multiple (LCM) of 52783 and 52795 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52783 and 52795. First we will calculate the prime factors of 52783 and 52795.
Prime Factorization of 52783
Prime factors of 52783 are 52783. Prime factorization of 52783 in exponential form is:
52783 = 527831
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 52783 and 52795.
LCM(52783,52795) = 527831 × 51 × 105591
LCM(52783,52795) = 2786678485
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