What is the Least Common Multiple of 52827 and 52847?
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 52827 and 52847 is 2791748469.
LCM(52827,52847) = 2791748469
Least Common Multiple of 52827 and 52847 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52827 and 52847, than apply into the LCM equation.
GCF(52827,52847) = 1
LCM(52827,52847) = ( 52827 × 52847) / 1
LCM(52827,52847) = 2791748469 / 1
LCM(52827,52847) = 2791748469
Least Common Multiple (LCM) of 52827 and 52847 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52827 and 52847. First we will calculate the prime factors of 52827 and 52847.
Prime Factorization of 52827
Prime factors of 52827 are 3, 17609. Prime factorization of 52827 in exponential form is:
52827 = 31 × 176091
Prime Factorization of 52847
Prime factors of 52847 are 43, 1229. Prime factorization of 52847 in exponential form is:
52847 = 431 × 12291
Now multiplying the highest exponent prime factors to calculate the LCM of 52827 and 52847.
LCM(52827,52847) = 31 × 176091 × 431 × 12291
LCM(52827,52847) = 2791748469
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