What is the Least Common Multiple of 52862 and 52871?
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 52862 and 52871 is 2794866802.
LCM(52862,52871) = 2794866802
Least Common Multiple of 52862 and 52871 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52862 and 52871, than apply into the LCM equation.
GCF(52862,52871) = 1
LCM(52862,52871) = ( 52862 × 52871) / 1
LCM(52862,52871) = 2794866802 / 1
LCM(52862,52871) = 2794866802
Least Common Multiple (LCM) of 52862 and 52871 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52862 and 52871. First we will calculate the prime factors of 52862 and 52871.
Prime Factorization of 52862
Prime factors of 52862 are 2, 26431. Prime factorization of 52862 in exponential form is:
52862 = 21 × 264311
Prime Factorization of 52871
Prime factors of 52871 are 7, 13, 83. Prime factorization of 52871 in exponential form is:
52871 = 72 × 131 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 52862 and 52871.
LCM(52862,52871) = 21 × 264311 × 72 × 131 × 831
LCM(52862,52871) = 2794866802
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