What is the Least Common Multiple of 52847 and 52856?
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 52847 and 52856 is 2793281032.
LCM(52847,52856) = 2793281032
Least Common Multiple of 52847 and 52856 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52847 and 52856, than apply into the LCM equation.
GCF(52847,52856) = 1
LCM(52847,52856) = ( 52847 × 52856) / 1
LCM(52847,52856) = 2793281032 / 1
LCM(52847,52856) = 2793281032
Least Common Multiple (LCM) of 52847 and 52856 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52847 and 52856. First we will calculate the prime factors of 52847 and 52856.
Prime Factorization of 52847
Prime factors of 52847 are 43, 1229. Prime factorization of 52847 in exponential form is:
52847 = 431 × 12291
Prime Factorization of 52856
Prime factors of 52856 are 2, 6607. Prime factorization of 52856 in exponential form is:
52856 = 23 × 66071
Now multiplying the highest exponent prime factors to calculate the LCM of 52847 and 52856.
LCM(52847,52856) = 431 × 12291 × 23 × 66071
LCM(52847,52856) = 2793281032
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