What is the Least Common Multiple of 92722 and 92733?
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 92722 and 92733 is 8598389226.
LCM(92722,92733) = 8598389226
Least Common Multiple of 92722 and 92733 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92722 and 92733, than apply into the LCM equation.
GCF(92722,92733) = 1
LCM(92722,92733) = ( 92722 × 92733) / 1
LCM(92722,92733) = 8598389226 / 1
LCM(92722,92733) = 8598389226
Least Common Multiple (LCM) of 92722 and 92733 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92722 and 92733. First we will calculate the prime factors of 92722 and 92733.
Prime Factorization of 92722
Prime factors of 92722 are 2, 7, 37, 179. Prime factorization of 92722 in exponential form is:
92722 = 21 × 71 × 371 × 1791
Prime Factorization of 92733
Prime factors of 92733 are 3, 30911. Prime factorization of 92733 in exponential form is:
92733 = 31 × 309111
Now multiplying the highest exponent prime factors to calculate the LCM of 92722 and 92733.
LCM(92722,92733) = 21 × 71 × 371 × 1791 × 31 × 309111
LCM(92722,92733) = 8598389226
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