What is the Least Common Multiple of 68242 and 68260?
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 68242 and 68260 is 2329099460.
LCM(68242,68260) = 2329099460
Least Common Multiple of 68242 and 68260 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68242 and 68260, than apply into the LCM equation.
GCF(68242,68260) = 2
LCM(68242,68260) = ( 68242 × 68260) / 2
LCM(68242,68260) = 4658198920 / 2
LCM(68242,68260) = 2329099460
Least Common Multiple (LCM) of 68242 and 68260 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68242 and 68260. First we will calculate the prime factors of 68242 and 68260.
Prime Factorization of 68242
Prime factors of 68242 are 2, 149, 229. Prime factorization of 68242 in exponential form is:
68242 = 21 × 1491 × 2291
Prime Factorization of 68260
Prime factors of 68260 are 2, 5, 3413. Prime factorization of 68260 in exponential form is:
68260 = 22 × 51 × 34131
Now multiplying the highest exponent prime factors to calculate the LCM of 68242 and 68260.
LCM(68242,68260) = 22 × 1491 × 2291 × 51 × 34131
LCM(68242,68260) = 2329099460
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