What is the Least Common Multiple of 92877 and 92890?
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 92877 and 92890 is 8627344530.
LCM(92877,92890) = 8627344530
Least Common Multiple of 92877 and 92890 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92877 and 92890, than apply into the LCM equation.
GCF(92877,92890) = 1
LCM(92877,92890) = ( 92877 × 92890) / 1
LCM(92877,92890) = 8627344530 / 1
LCM(92877,92890) = 8627344530
Least Common Multiple (LCM) of 92877 and 92890 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92877 and 92890. First we will calculate the prime factors of 92877 and 92890.
Prime Factorization of 92877
Prime factors of 92877 are 3, 83, 373. Prime factorization of 92877 in exponential form is:
92877 = 31 × 831 × 3731
Prime Factorization of 92890
Prime factors of 92890 are 2, 5, 7, 1327. Prime factorization of 92890 in exponential form is:
92890 = 21 × 51 × 71 × 13271
Now multiplying the highest exponent prime factors to calculate the LCM of 92877 and 92890.
LCM(92877,92890) = 31 × 831 × 3731 × 21 × 51 × 71 × 13271
LCM(92877,92890) = 8627344530
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