What is the Least Common Multiple of 22093 and 22110?
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 22093 and 22110 is 488476230.
LCM(22093,22110) = 488476230
Least Common Multiple of 22093 and 22110 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22093 and 22110, than apply into the LCM equation.
GCF(22093,22110) = 1
LCM(22093,22110) = ( 22093 × 22110) / 1
LCM(22093,22110) = 488476230 / 1
LCM(22093,22110) = 488476230
Least Common Multiple (LCM) of 22093 and 22110 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22093 and 22110. First we will calculate the prime factors of 22093 and 22110.
Prime Factorization of 22093
Prime factors of 22093 are 22093. Prime factorization of 22093 in exponential form is:
22093 = 220931
Prime Factorization of 22110
Prime factors of 22110 are 2, 3, 5, 11, 67. Prime factorization of 22110 in exponential form is:
22110 = 21 × 31 × 51 × 111 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 22093 and 22110.
LCM(22093,22110) = 220931 × 21 × 31 × 51 × 111 × 671
LCM(22093,22110) = 488476230
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