What is the Least Common Multiple of 62281 and 62285?
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 62281 and 62285 is 3879172085.
LCM(62281,62285) = 3879172085
Least Common Multiple of 62281 and 62285 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62281 and 62285, than apply into the LCM equation.
GCF(62281,62285) = 1
LCM(62281,62285) = ( 62281 × 62285) / 1
LCM(62281,62285) = 3879172085 / 1
LCM(62281,62285) = 3879172085
Least Common Multiple (LCM) of 62281 and 62285 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62281 and 62285. First we will calculate the prime factors of 62281 and 62285.
Prime Factorization of 62281
Prime factors of 62281 are 61, 1021. Prime factorization of 62281 in exponential form is:
62281 = 611 × 10211
Prime Factorization of 62285
Prime factors of 62285 are 5, 12457. Prime factorization of 62285 in exponential form is:
62285 = 51 × 124571
Now multiplying the highest exponent prime factors to calculate the LCM of 62281 and 62285.
LCM(62281,62285) = 611 × 10211 × 51 × 124571
LCM(62281,62285) = 3879172085
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