What is the Least Common Multiple of 99254 and 99266?
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 99254 and 99266 is 4926273782.
LCM(99254,99266) = 4926273782
Least Common Multiple of 99254 and 99266 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99254 and 99266, than apply into the LCM equation.
GCF(99254,99266) = 2
LCM(99254,99266) = ( 99254 × 99266) / 2
LCM(99254,99266) = 9852547564 / 2
LCM(99254,99266) = 4926273782
Least Common Multiple (LCM) of 99254 and 99266 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99254 and 99266. First we will calculate the prime factors of 99254 and 99266.
Prime Factorization of 99254
Prime factors of 99254 are 2, 49627. Prime factorization of 99254 in exponential form is:
99254 = 21 × 496271
Prime Factorization of 99266
Prime factors of 99266 are 2, 49633. Prime factorization of 99266 in exponential form is:
99266 = 21 × 496331
Now multiplying the highest exponent prime factors to calculate the LCM of 99254 and 99266.
LCM(99254,99266) = 21 × 496271 × 496331
LCM(99254,99266) = 4926273782
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