What is the Least Common Multiple of 42437 and 42442?
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 42437 and 42442 is 1801111154.
LCM(42437,42442) = 1801111154
Least Common Multiple of 42437 and 42442 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42437 and 42442, than apply into the LCM equation.
GCF(42437,42442) = 1
LCM(42437,42442) = ( 42437 × 42442) / 1
LCM(42437,42442) = 1801111154 / 1
LCM(42437,42442) = 1801111154
Least Common Multiple (LCM) of 42437 and 42442 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 42437 and 42442. First we will calculate the prime factors of 42437 and 42442.
Prime Factorization of 42437
Prime factors of 42437 are 42437. Prime factorization of 42437 in exponential form is:
42437 = 424371
Prime Factorization of 42442
Prime factors of 42442 are 2, 21221. Prime factorization of 42442 in exponential form is:
42442 = 21 × 212211
Now multiplying the highest exponent prime factors to calculate the LCM of 42437 and 42442.
LCM(42437,42442) = 424371 × 21 × 212211
LCM(42437,42442) = 1801111154
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