What is the Least Common Multiple of 22855 and 22859?
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 22855 and 22859 is 522442445.
LCM(22855,22859) = 522442445
Least Common Multiple of 22855 and 22859 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22855 and 22859, than apply into the LCM equation.
GCF(22855,22859) = 1
LCM(22855,22859) = ( 22855 × 22859) / 1
LCM(22855,22859) = 522442445 / 1
LCM(22855,22859) = 522442445
Least Common Multiple (LCM) of 22855 and 22859 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22855 and 22859. First we will calculate the prime factors of 22855 and 22859.
Prime Factorization of 22855
Prime factors of 22855 are 5, 7, 653. Prime factorization of 22855 in exponential form is:
22855 = 51 × 71 × 6531
Prime Factorization of 22859
Prime factors of 22859 are 22859. Prime factorization of 22859 in exponential form is:
22859 = 228591
Now multiplying the highest exponent prime factors to calculate the LCM of 22855 and 22859.
LCM(22855,22859) = 51 × 71 × 6531 × 228591
LCM(22855,22859) = 522442445
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