What is the Least Common Multiple of 22859 and 22863?
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 22859 and 22863 is 522625317.
LCM(22859,22863) = 522625317
Least Common Multiple of 22859 and 22863 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22859 and 22863, than apply into the LCM equation.
GCF(22859,22863) = 1
LCM(22859,22863) = ( 22859 × 22863) / 1
LCM(22859,22863) = 522625317 / 1
LCM(22859,22863) = 522625317
Least Common Multiple (LCM) of 22859 and 22863 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22859 and 22863. First we will calculate the prime factors of 22859 and 22863.
Prime Factorization of 22859
Prime factors of 22859 are 22859. Prime factorization of 22859 in exponential form is:
22859 = 228591
Prime Factorization of 22863
Prime factors of 22863 are 3, 7621. Prime factorization of 22863 in exponential form is:
22863 = 31 × 76211
Now multiplying the highest exponent prime factors to calculate the LCM of 22859 and 22863.
LCM(22859,22863) = 228591 × 31 × 76211
LCM(22859,22863) = 522625317
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