What is the Least Common Multiple of 92273 and 92277?
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 92273 and 92277 is 8514675621.
LCM(92273,92277) = 8514675621
Least Common Multiple of 92273 and 92277 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92273 and 92277, than apply into the LCM equation.
GCF(92273,92277) = 1
LCM(92273,92277) = ( 92273 × 92277) / 1
LCM(92273,92277) = 8514675621 / 1
LCM(92273,92277) = 8514675621
Least Common Multiple (LCM) of 92273 and 92277 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92273 and 92277. First we will calculate the prime factors of 92273 and 92277.
Prime Factorization of 92273
Prime factors of 92273 are 53, 1741. Prime factorization of 92273 in exponential form is:
92273 = 531 × 17411
Prime Factorization of 92277
Prime factors of 92277 are 3, 10253. Prime factorization of 92277 in exponential form is:
92277 = 32 × 102531
Now multiplying the highest exponent prime factors to calculate the LCM of 92273 and 92277.
LCM(92273,92277) = 531 × 17411 × 32 × 102531
LCM(92273,92277) = 8514675621
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