What is the Least Common Multiple of 22062 and 22072?
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 22072 is 243476232.
LCM(22062,22072) = 243476232
Least Common Multiple of 22062 and 22072 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 22072, than apply into the LCM equation.
GCF(22062,22072) = 2
LCM(22062,22072) = ( 22062 × 22072) / 2
LCM(22062,22072) = 486952464 / 2
LCM(22062,22072) = 243476232
Least Common Multiple (LCM) of 22062 and 22072 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22062 and 22072. First we will calculate the prime factors of 22062 and 22072.
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 22072
Prime factors of 22072 are 2, 31, 89. Prime factorization of 22072 in exponential form is:
22072 = 23 × 311 × 891
Now multiplying the highest exponent prime factors to calculate the LCM of 22062 and 22072.
LCM(22062,22072) = 23 × 31 × 36771 × 311 × 891
LCM(22062,22072) = 243476232
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