What is the Least Common Multiple of 93422 and 93442?
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 93422 and 93442 is 4364769262.
LCM(93422,93442) = 4364769262
Least Common Multiple of 93422 and 93442 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93422 and 93442, than apply into the LCM equation.
GCF(93422,93442) = 2
LCM(93422,93442) = ( 93422 × 93442) / 2
LCM(93422,93442) = 8729538524 / 2
LCM(93422,93442) = 4364769262
Least Common Multiple (LCM) of 93422 and 93442 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93422 and 93442. First we will calculate the prime factors of 93422 and 93442.
Prime Factorization of 93422
Prime factors of 93422 are 2, 7, 6673. Prime factorization of 93422 in exponential form is:
93422 = 21 × 71 × 66731
Prime Factorization of 93442
Prime factors of 93442 are 2, 19, 2459. Prime factorization of 93442 in exponential form is:
93442 = 21 × 191 × 24591
Now multiplying the highest exponent prime factors to calculate the LCM of 93422 and 93442.
LCM(93422,93442) = 21 × 71 × 66731 × 191 × 24591
LCM(93422,93442) = 4364769262
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