What is the Least Common Multiple of 52861 and 52867?
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 52861 and 52867 is 2794602487.
LCM(52861,52867) = 2794602487
Least Common Multiple of 52861 and 52867 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52861 and 52867, than apply into the LCM equation.
GCF(52861,52867) = 1
LCM(52861,52867) = ( 52861 × 52867) / 1
LCM(52861,52867) = 2794602487 / 1
LCM(52861,52867) = 2794602487
Least Common Multiple (LCM) of 52861 and 52867 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52861 and 52867. First we will calculate the prime factors of 52861 and 52867.
Prime Factorization of 52861
Prime factors of 52861 are 52861. Prime factorization of 52861 in exponential form is:
52861 = 528611
Prime Factorization of 52867
Prime factors of 52867 are 29, 1823. Prime factorization of 52867 in exponential form is:
52867 = 291 × 18231
Now multiplying the highest exponent prime factors to calculate the LCM of 52861 and 52867.
LCM(52861,52867) = 528611 × 291 × 18231
LCM(52861,52867) = 2794602487
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