What is the Least Common Multiple of 22056 and 22063?
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 22056 and 22063 is 486621528.
LCM(22056,22063) = 486621528
Least Common Multiple of 22056 and 22063 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22056 and 22063, than apply into the LCM equation.
GCF(22056,22063) = 1
LCM(22056,22063) = ( 22056 × 22063) / 1
LCM(22056,22063) = 486621528 / 1
LCM(22056,22063) = 486621528
Least Common Multiple (LCM) of 22056 and 22063 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22056 and 22063. First we will calculate the prime factors of 22056 and 22063.
Prime Factorization of 22056
Prime factors of 22056 are 2, 3, 919. Prime factorization of 22056 in exponential form is:
22056 = 23 × 31 × 9191
Prime Factorization of 22063
Prime factors of 22063 are 22063. Prime factorization of 22063 in exponential form is:
22063 = 220631
Now multiplying the highest exponent prime factors to calculate the LCM of 22056 and 22063.
LCM(22056,22063) = 23 × 31 × 9191 × 220631
LCM(22056,22063) = 486621528
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