What is the Least Common Multiple of 22043 and 22058?
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 22043 and 22058 is 486224494.
LCM(22043,22058) = 486224494
Least Common Multiple of 22043 and 22058 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22043 and 22058, than apply into the LCM equation.
GCF(22043,22058) = 1
LCM(22043,22058) = ( 22043 × 22058) / 1
LCM(22043,22058) = 486224494 / 1
LCM(22043,22058) = 486224494
Least Common Multiple (LCM) of 22043 and 22058 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22043 and 22058. First we will calculate the prime factors of 22043 and 22058.
Prime Factorization of 22043
Prime factors of 22043 are 7, 47, 67. Prime factorization of 22043 in exponential form is:
22043 = 71 × 471 × 671
Prime Factorization of 22058
Prime factors of 22058 are 2, 41, 269. Prime factorization of 22058 in exponential form is:
22058 = 21 × 411 × 2691
Now multiplying the highest exponent prime factors to calculate the LCM of 22043 and 22058.
LCM(22043,22058) = 71 × 471 × 671 × 21 × 411 × 2691
LCM(22043,22058) = 486224494
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