What is the Least Common Multiple of 62855 and 62860?
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 62855 and 62860 is 790213060.
LCM(62855,62860) = 790213060
Least Common Multiple of 62855 and 62860 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62855 and 62860, than apply into the LCM equation.
GCF(62855,62860) = 5
LCM(62855,62860) = ( 62855 × 62860) / 5
LCM(62855,62860) = 3951065300 / 5
LCM(62855,62860) = 790213060
Least Common Multiple (LCM) of 62855 and 62860 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62855 and 62860. First we will calculate the prime factors of 62855 and 62860.
Prime Factorization of 62855
Prime factors of 62855 are 5, 13, 967. Prime factorization of 62855 in exponential form is:
62855 = 51 × 131 × 9671
Prime Factorization of 62860
Prime factors of 62860 are 2, 5, 7, 449. Prime factorization of 62860 in exponential form is:
62860 = 22 × 51 × 71 × 4491
Now multiplying the highest exponent prime factors to calculate the LCM of 62855 and 62860.
LCM(62855,62860) = 51 × 131 × 9671 × 22 × 71 × 4491
LCM(62855,62860) = 790213060
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