What is the Least Common Multiple of 92773 and 92792?
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 92773 and 92792 is 8608592216.
LCM(92773,92792) = 8608592216
Least Common Multiple of 92773 and 92792 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92773 and 92792, than apply into the LCM equation.
GCF(92773,92792) = 1
LCM(92773,92792) = ( 92773 × 92792) / 1
LCM(92773,92792) = 8608592216 / 1
LCM(92773,92792) = 8608592216
Least Common Multiple (LCM) of 92773 and 92792 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92773 and 92792. First we will calculate the prime factors of 92773 and 92792.
Prime Factorization of 92773
Prime factors of 92773 are 113, 821. Prime factorization of 92773 in exponential form is:
92773 = 1131 × 8211
Prime Factorization of 92792
Prime factors of 92792 are 2, 7, 1657. Prime factorization of 92792 in exponential form is:
92792 = 23 × 71 × 16571
Now multiplying the highest exponent prime factors to calculate the LCM of 92773 and 92792.
LCM(92773,92792) = 1131 × 8211 × 23 × 71 × 16571
LCM(92773,92792) = 8608592216
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