What is the Least Common Multiple of 92818 and 92829?
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 92818 and 92829 is 783291102.
LCM(92818,92829) = 783291102
Least Common Multiple of 92818 and 92829 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92818 and 92829, than apply into the LCM equation.
GCF(92818,92829) = 11
LCM(92818,92829) = ( 92818 × 92829) / 11
LCM(92818,92829) = 8616202122 / 11
LCM(92818,92829) = 783291102
Least Common Multiple (LCM) of 92818 and 92829 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92818 and 92829. First we will calculate the prime factors of 92818 and 92829.
Prime Factorization of 92818
Prime factors of 92818 are 2, 11, 4219. Prime factorization of 92818 in exponential form is:
92818 = 21 × 111 × 42191
Prime Factorization of 92829
Prime factors of 92829 are 3, 11, 29, 97. Prime factorization of 92829 in exponential form is:
92829 = 31 × 111 × 291 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 92818 and 92829.
LCM(92818,92829) = 21 × 111 × 42191 × 31 × 291 × 971
LCM(92818,92829) = 783291102
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