What is the Least Common Multiple of 62440 and 62449?
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 62440 and 62449 is 3899315560.
LCM(62440,62449) = 3899315560
Least Common Multiple of 62440 and 62449 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62440 and 62449, than apply into the LCM equation.
GCF(62440,62449) = 1
LCM(62440,62449) = ( 62440 × 62449) / 1
LCM(62440,62449) = 3899315560 / 1
LCM(62440,62449) = 3899315560
Least Common Multiple (LCM) of 62440 and 62449 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62440 and 62449. First we will calculate the prime factors of 62440 and 62449.
Prime Factorization of 62440
Prime factors of 62440 are 2, 5, 7, 223. Prime factorization of 62440 in exponential form is:
62440 = 23 × 51 × 71 × 2231
Prime Factorization of 62449
Prime factors of 62449 are 197, 317. Prime factorization of 62449 in exponential form is:
62449 = 1971 × 3171
Now multiplying the highest exponent prime factors to calculate the LCM of 62440 and 62449.
LCM(62440,62449) = 23 × 51 × 71 × 2231 × 1971 × 3171
LCM(62440,62449) = 3899315560
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Related Least Common Multiples of 62449
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