What is the Least Common Multiple of 92923 and 92932?
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 92923 and 92932 is 8635520236.
LCM(92923,92932) = 8635520236
Least Common Multiple of 92923 and 92932 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92923 and 92932, than apply into the LCM equation.
GCF(92923,92932) = 1
LCM(92923,92932) = ( 92923 × 92932) / 1
LCM(92923,92932) = 8635520236 / 1
LCM(92923,92932) = 8635520236
Least Common Multiple (LCM) of 92923 and 92932 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92923 and 92932. First we will calculate the prime factors of 92923 and 92932.
Prime Factorization of 92923
Prime factors of 92923 are 43, 2161. Prime factorization of 92923 in exponential form is:
92923 = 431 × 21611
Prime Factorization of 92932
Prime factors of 92932 are 2, 7, 3319. Prime factorization of 92932 in exponential form is:
92932 = 22 × 71 × 33191
Now multiplying the highest exponent prime factors to calculate the LCM of 92923 and 92932.
LCM(92923,92932) = 431 × 21611 × 22 × 71 × 33191
LCM(92923,92932) = 8635520236
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