What is the Least Common Multiple of 22066 and 22070?
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 22070 is 243498310.
LCM(22066,22070) = 243498310
Least Common Multiple of 22066 and 22070 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 22070, than apply into the LCM equation.
GCF(22066,22070) = 2
LCM(22066,22070) = ( 22066 × 22070) / 2
LCM(22066,22070) = 486996620 / 2
LCM(22066,22070) = 243498310
Least Common Multiple (LCM) of 22066 and 22070 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22066 and 22070. First we will calculate the prime factors of 22066 and 22070.
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 22070
Prime factors of 22070 are 2, 5, 2207. Prime factorization of 22070 in exponential form is:
22070 = 21 × 51 × 22071
Now multiplying the highest exponent prime factors to calculate the LCM of 22066 and 22070.
LCM(22066,22070) = 21 × 111 × 171 × 591 × 51 × 22071
LCM(22066,22070) = 243498310
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