What is the Least Common Multiple of 52157 and 52163?
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 52157 and 52163 is 2720665591.
LCM(52157,52163) = 2720665591
Least Common Multiple of 52157 and 52163 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52157 and 52163, than apply into the LCM equation.
GCF(52157,52163) = 1
LCM(52157,52163) = ( 52157 × 52163) / 1
LCM(52157,52163) = 2720665591 / 1
LCM(52157,52163) = 2720665591
Least Common Multiple (LCM) of 52157 and 52163 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52157 and 52163. First we will calculate the prime factors of 52157 and 52163.
Prime Factorization of 52157
Prime factors of 52157 are 7, 7451. Prime factorization of 52157 in exponential form is:
52157 = 71 × 74511
Prime Factorization of 52163
Prime factors of 52163 are 52163. Prime factorization of 52163 in exponential form is:
52163 = 521631
Now multiplying the highest exponent prime factors to calculate the LCM of 52157 and 52163.
LCM(52157,52163) = 71 × 74511 × 521631
LCM(52157,52163) = 2720665591
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