What is the Least Common Multiple of 22062 and 22066?
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 22062 and 22066 is 243410046.
LCM(22062,22066) = 243410046
Least Common Multiple of 22062 and 22066 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22062 and 22066, than apply into the LCM equation.
GCF(22062,22066) = 2
LCM(22062,22066) = ( 22062 × 22066) / 2
LCM(22062,22066) = 486820092 / 2
LCM(22062,22066) = 243410046
Least Common Multiple (LCM) of 22062 and 22066 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22062 and 22066. First we will calculate the prime factors of 22062 and 22066.
Prime Factorization of 22062
Prime factors of 22062 are 2, 3, 3677. Prime factorization of 22062 in exponential form is:
22062 = 21 × 31 × 36771
Prime Factorization of 22066
Prime factors of 22066 are 2, 11, 17, 59. Prime factorization of 22066 in exponential form is:
22066 = 21 × 111 × 171 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 22062 and 22066.
LCM(22062,22066) = 21 × 31 × 36771 × 111 × 171 × 591
LCM(22062,22066) = 243410046
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