What is the Least Common Multiple of 92818 and 92833?
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 92833 is 8616573394.
LCM(92818,92833) = 8616573394
Least Common Multiple of 92818 and 92833 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 92833, than apply into the LCM equation.
GCF(92818,92833) = 1
LCM(92818,92833) = ( 92818 × 92833) / 1
LCM(92818,92833) = 8616573394 / 1
LCM(92818,92833) = 8616573394
Least Common Multiple (LCM) of 92818 and 92833 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92818 and 92833. First we will calculate the prime factors of 92818 and 92833.
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 92833
Prime factors of 92833 are 13, 37, 193. Prime factorization of 92833 in exponential form is:
92833 = 131 × 371 × 1931
Now multiplying the highest exponent prime factors to calculate the LCM of 92818 and 92833.
LCM(92818,92833) = 21 × 111 × 42191 × 131 × 371 × 1931
LCM(92818,92833) = 8616573394
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