What is the Least Common Multiple of 62242 and 62259?
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 62242 and 62259 is 3875124678.
LCM(62242,62259) = 3875124678
Least Common Multiple of 62242 and 62259 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62242 and 62259, than apply into the LCM equation.
GCF(62242,62259) = 1
LCM(62242,62259) = ( 62242 × 62259) / 1
LCM(62242,62259) = 3875124678 / 1
LCM(62242,62259) = 3875124678
Least Common Multiple (LCM) of 62242 and 62259 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62242 and 62259. First we will calculate the prime factors of 62242 and 62259.
Prime Factorization of 62242
Prime factors of 62242 are 2, 31121. Prime factorization of 62242 in exponential form is:
62242 = 21 × 311211
Prime Factorization of 62259
Prime factors of 62259 are 3, 20753. Prime factorization of 62259 in exponential form is:
62259 = 31 × 207531
Now multiplying the highest exponent prime factors to calculate the LCM of 62242 and 62259.
LCM(62242,62259) = 21 × 311211 × 31 × 207531
LCM(62242,62259) = 3875124678
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