What is the Least Common Multiple of 51643 and 51647?
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 51643 and 51647 is 2667206021.
LCM(51643,51647) = 2667206021
Least Common Multiple of 51643 and 51647 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51643 and 51647, than apply into the LCM equation.
GCF(51643,51647) = 1
LCM(51643,51647) = ( 51643 × 51647) / 1
LCM(51643,51647) = 2667206021 / 1
LCM(51643,51647) = 2667206021
Least Common Multiple (LCM) of 51643 and 51647 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 51643 and 51647. First we will calculate the prime factors of 51643 and 51647.
Prime Factorization of 51643
Prime factors of 51643 are 43, 1201. Prime factorization of 51643 in exponential form is:
51643 = 431 × 12011
Prime Factorization of 51647
Prime factors of 51647 are 51647. Prime factorization of 51647 in exponential form is:
51647 = 516471
Now multiplying the highest exponent prime factors to calculate the LCM of 51643 and 51647.
LCM(51643,51647) = 431 × 12011 × 516471
LCM(51643,51647) = 2667206021
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