What is the Least Common Multiple of 52247 and 52254?
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 52247 and 52254 is 2730114738.
LCM(52247,52254) = 2730114738
Least Common Multiple of 52247 and 52254 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52247 and 52254, than apply into the LCM equation.
GCF(52247,52254) = 1
LCM(52247,52254) = ( 52247 × 52254) / 1
LCM(52247,52254) = 2730114738 / 1
LCM(52247,52254) = 2730114738
Least Common Multiple (LCM) of 52247 and 52254 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52247 and 52254. First we will calculate the prime factors of 52247 and 52254.
Prime Factorization of 52247
Prime factors of 52247 are 13, 4019. Prime factorization of 52247 in exponential form is:
52247 = 131 × 40191
Prime Factorization of 52254
Prime factors of 52254 are 2, 3, 2903. Prime factorization of 52254 in exponential form is:
52254 = 21 × 32 × 29031
Now multiplying the highest exponent prime factors to calculate the LCM of 52247 and 52254.
LCM(52247,52254) = 131 × 40191 × 21 × 32 × 29031
LCM(52247,52254) = 2730114738
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