What is the Least Common Multiple of 22159 and 22169?
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 22159 and 22169 is 491242871.
LCM(22159,22169) = 491242871
Least Common Multiple of 22159 and 22169 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22159 and 22169, than apply into the LCM equation.
GCF(22159,22169) = 1
LCM(22159,22169) = ( 22159 × 22169) / 1
LCM(22159,22169) = 491242871 / 1
LCM(22159,22169) = 491242871
Least Common Multiple (LCM) of 22159 and 22169 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22159 and 22169. First we will calculate the prime factors of 22159 and 22169.
Prime Factorization of 22159
Prime factors of 22159 are 22159. Prime factorization of 22159 in exponential form is:
22159 = 221591
Prime Factorization of 22169
Prime factors of 22169 are 7, 3167. Prime factorization of 22169 in exponential form is:
22169 = 71 × 31671
Now multiplying the highest exponent prime factors to calculate the LCM of 22159 and 22169.
LCM(22159,22169) = 221591 × 71 × 31671
LCM(22159,22169) = 491242871
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