What is the Least Common Multiple of 92518 and 92522?
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 92518 and 92522 is 4279975198.
LCM(92518,92522) = 4279975198
Least Common Multiple of 92518 and 92522 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92518 and 92522, than apply into the LCM equation.
GCF(92518,92522) = 2
LCM(92518,92522) = ( 92518 × 92522) / 2
LCM(92518,92522) = 8559950396 / 2
LCM(92518,92522) = 4279975198
Least Common Multiple (LCM) of 92518 and 92522 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92518 and 92522. First we will calculate the prime factors of 92518 and 92522.
Prime Factorization of 92518
Prime factors of 92518 are 2, 167, 277. Prime factorization of 92518 in exponential form is:
92518 = 21 × 1671 × 2771
Prime Factorization of 92522
Prime factors of 92522 are 2, 46261. Prime factorization of 92522 in exponential form is:
92522 = 21 × 462611
Now multiplying the highest exponent prime factors to calculate the LCM of 92518 and 92522.
LCM(92518,92522) = 21 × 1671 × 2771 × 462611
LCM(92518,92522) = 4279975198
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