What is the Least Common Multiple of 52442 and 52453?
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 52442 and 52453 is 2750740226.
LCM(52442,52453) = 2750740226
Least Common Multiple of 52442 and 52453 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52442 and 52453, than apply into the LCM equation.
GCF(52442,52453) = 1
LCM(52442,52453) = ( 52442 × 52453) / 1
LCM(52442,52453) = 2750740226 / 1
LCM(52442,52453) = 2750740226
Least Common Multiple (LCM) of 52442 and 52453 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52442 and 52453. First we will calculate the prime factors of 52442 and 52453.
Prime Factorization of 52442
Prime factors of 52442 are 2, 13, 2017. Prime factorization of 52442 in exponential form is:
52442 = 21 × 131 × 20171
Prime Factorization of 52453
Prime factors of 52453 are 52453. Prime factorization of 52453 in exponential form is:
52453 = 524531
Now multiplying the highest exponent prime factors to calculate the LCM of 52442 and 52453.
LCM(52442,52453) = 21 × 131 × 20171 × 524531
LCM(52442,52453) = 2750740226
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