What is the Least Common Multiple of 69428 and 69437?
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 69428 and 69437 is 4820872036.
LCM(69428,69437) = 4820872036
Least Common Multiple of 69428 and 69437 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69428 and 69437, than apply into the LCM equation.
GCF(69428,69437) = 1
LCM(69428,69437) = ( 69428 × 69437) / 1
LCM(69428,69437) = 4820872036 / 1
LCM(69428,69437) = 4820872036
Least Common Multiple (LCM) of 69428 and 69437 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 69428 and 69437. First we will calculate the prime factors of 69428 and 69437.
Prime Factorization of 69428
Prime factors of 69428 are 2, 17, 1021. Prime factorization of 69428 in exponential form is:
69428 = 22 × 171 × 10211
Prime Factorization of 69437
Prime factors of 69437 are 23, 3019. Prime factorization of 69437 in exponential form is:
69437 = 231 × 30191
Now multiplying the highest exponent prime factors to calculate the LCM of 69428 and 69437.
LCM(69428,69437) = 22 × 171 × 10211 × 231 × 30191
LCM(69428,69437) = 4820872036
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