What is the Least Common Multiple of 52867 and 52883?
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 52867 and 52883 is 2795765561.
LCM(52867,52883) = 2795765561
Least Common Multiple of 52867 and 52883 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52867 and 52883, than apply into the LCM equation.
GCF(52867,52883) = 1
LCM(52867,52883) = ( 52867 × 52883) / 1
LCM(52867,52883) = 2795765561 / 1
LCM(52867,52883) = 2795765561
Least Common Multiple (LCM) of 52867 and 52883 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52867 and 52883. First we will calculate the prime factors of 52867 and 52883.
Prime Factorization of 52867
Prime factors of 52867 are 29, 1823. Prime factorization of 52867 in exponential form is:
52867 = 291 × 18231
Prime Factorization of 52883
Prime factors of 52883 are 52883. Prime factorization of 52883 in exponential form is:
52883 = 528831
Now multiplying the highest exponent prime factors to calculate the LCM of 52867 and 52883.
LCM(52867,52883) = 291 × 18231 × 528831
LCM(52867,52883) = 2795765561
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