What is the Least Common Multiple of 92758 and 92763?
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 92758 and 92763 is 8604510354.
LCM(92758,92763) = 8604510354
Least Common Multiple of 92758 and 92763 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92758 and 92763, than apply into the LCM equation.
GCF(92758,92763) = 1
LCM(92758,92763) = ( 92758 × 92763) / 1
LCM(92758,92763) = 8604510354 / 1
LCM(92758,92763) = 8604510354
Least Common Multiple (LCM) of 92758 and 92763 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92758 and 92763. First we will calculate the prime factors of 92758 and 92763.
Prime Factorization of 92758
Prime factors of 92758 are 2, 19, 2441. Prime factorization of 92758 in exponential form is:
92758 = 21 × 191 × 24411
Prime Factorization of 92763
Prime factors of 92763 are 3, 11, 937. Prime factorization of 92763 in exponential form is:
92763 = 32 × 111 × 9371
Now multiplying the highest exponent prime factors to calculate the LCM of 92758 and 92763.
LCM(92758,92763) = 21 × 191 × 24411 × 32 × 111 × 9371
LCM(92758,92763) = 8604510354
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