What is the Least Common Multiple of 22859 and 22879?
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 22879 is 522991061.
LCM(22859,22879) = 522991061
Least Common Multiple of 22859 and 22879 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 22879, than apply into the LCM equation.
GCF(22859,22879) = 1
LCM(22859,22879) = ( 22859 × 22879) / 1
LCM(22859,22879) = 522991061 / 1
LCM(22859,22879) = 522991061
Least Common Multiple (LCM) of 22859 and 22879 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22859 and 22879. First we will calculate the prime factors of 22859 and 22879.
Prime Factorization of 22859
Prime factors of 22859 are 22859. Prime factorization of 22859 in exponential form is:
22859 = 228591
Prime Factorization of 22879
Prime factors of 22879 are 137, 167. Prime factorization of 22879 in exponential form is:
22879 = 1371 × 1671
Now multiplying the highest exponent prime factors to calculate the LCM of 22859 and 22879.
LCM(22859,22879) = 228591 × 1371 × 1671
LCM(22859,22879) = 522991061
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