What is the Least Common Multiple of 22066 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 22066 and 22078 is 243586574.
LCM(22066,22078) = 243586574
Least Common Multiple of 22066 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 22066 and 22078, than apply into the LCM equation.
GCF(22066,22078) = 2
LCM(22066,22078) = ( 22066 × 22078) / 2
LCM(22066,22078) = 487173148 / 2
LCM(22066,22078) = 243586574
Least Common Multiple (LCM) of 22066 and 22078 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22066 and 22078. First we will calculate the prime factors of 22066 and 22078.
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
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 22066 and 22078.
LCM(22066,22078) = 21 × 111 × 171 × 591 × 71 × 191 × 831
LCM(22066,22078) = 243586574
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