What is the Least Common Multiple of 92643 and 92653?
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 92643 and 92653 is 8583651879.
LCM(92643,92653) = 8583651879
Least Common Multiple of 92643 and 92653 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92643 and 92653, than apply into the LCM equation.
GCF(92643,92653) = 1
LCM(92643,92653) = ( 92643 × 92653) / 1
LCM(92643,92653) = 8583651879 / 1
LCM(92643,92653) = 8583651879
Least Common Multiple (LCM) of 92643 and 92653 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92643 and 92653. First we will calculate the prime factors of 92643 and 92653.
Prime Factorization of 92643
Prime factors of 92643 are 3, 30881. Prime factorization of 92643 in exponential form is:
92643 = 31 × 308811
Prime Factorization of 92653
Prime factors of 92653 are 11, 8423. Prime factorization of 92653 in exponential form is:
92653 = 111 × 84231
Now multiplying the highest exponent prime factors to calculate the LCM of 92643 and 92653.
LCM(92643,92653) = 31 × 308811 × 111 × 84231
LCM(92643,92653) = 8583651879
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