What is the Least Common Multiple of 52163 and 52168?
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 52163 and 52168 is 2721239384.
LCM(52163,52168) = 2721239384
Least Common Multiple of 52163 and 52168 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52163 and 52168, than apply into the LCM equation.
GCF(52163,52168) = 1
LCM(52163,52168) = ( 52163 × 52168) / 1
LCM(52163,52168) = 2721239384 / 1
LCM(52163,52168) = 2721239384
Least Common Multiple (LCM) of 52163 and 52168 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52163 and 52168. First we will calculate the prime factors of 52163 and 52168.
Prime Factorization of 52163
Prime factors of 52163 are 52163. Prime factorization of 52163 in exponential form is:
52163 = 521631
Prime Factorization of 52168
Prime factors of 52168 are 2, 6521. Prime factorization of 52168 in exponential form is:
52168 = 23 × 65211
Now multiplying the highest exponent prime factors to calculate the LCM of 52163 and 52168.
LCM(52163,52168) = 521631 × 23 × 65211
LCM(52163,52168) = 2721239384
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