What is the Least Common Multiple of 69542 and 69558?
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 69542 and 69558 is 2418601218.
LCM(69542,69558) = 2418601218
Least Common Multiple of 69542 and 69558 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69542 and 69558, than apply into the LCM equation.
GCF(69542,69558) = 2
LCM(69542,69558) = ( 69542 × 69558) / 2
LCM(69542,69558) = 4837202436 / 2
LCM(69542,69558) = 2418601218
Least Common Multiple (LCM) of 69542 and 69558 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 69542 and 69558. First we will calculate the prime factors of 69542 and 69558.
Prime Factorization of 69542
Prime factors of 69542 are 2, 11, 29, 109. Prime factorization of 69542 in exponential form is:
69542 = 21 × 111 × 291 × 1091
Prime Factorization of 69558
Prime factors of 69558 are 2, 3, 11593. Prime factorization of 69558 in exponential form is:
69558 = 21 × 31 × 115931
Now multiplying the highest exponent prime factors to calculate the LCM of 69542 and 69558.
LCM(69542,69558) = 21 × 111 × 291 × 1091 × 31 × 115931
LCM(69542,69558) = 2418601218
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