What is the Least Common Multiple of 22063 and 22078?
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 22063 and 22078 is 487106914.
LCM(22063,22078) = 487106914
Least Common Multiple of 22063 and 22078 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22063 and 22078, than apply into the LCM equation.
GCF(22063,22078) = 1
LCM(22063,22078) = ( 22063 × 22078) / 1
LCM(22063,22078) = 487106914 / 1
LCM(22063,22078) = 487106914
Least Common Multiple (LCM) of 22063 and 22078 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22063 and 22078. First we will calculate the prime factors of 22063 and 22078.
Prime Factorization of 22063
Prime factors of 22063 are 22063. Prime factorization of 22063 in exponential form is:
22063 = 220631
Prime Factorization of 22078
Prime factors of 22078 are 2, 7, 19, 83. Prime factorization of 22078 in exponential form is:
22078 = 21 × 71 × 191 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 22063 and 22078.
LCM(22063,22078) = 220631 × 21 × 71 × 191 × 831
LCM(22063,22078) = 487106914
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