What is the Least Common Multiple of 62815 and 62833?
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 62815 and 62833 is 3946854895.
LCM(62815,62833) = 3946854895
Least Common Multiple of 62815 and 62833 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62815 and 62833, than apply into the LCM equation.
GCF(62815,62833) = 1
LCM(62815,62833) = ( 62815 × 62833) / 1
LCM(62815,62833) = 3946854895 / 1
LCM(62815,62833) = 3946854895
Least Common Multiple (LCM) of 62815 and 62833 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62815 and 62833. First we will calculate the prime factors of 62815 and 62833.
Prime Factorization of 62815
Prime factors of 62815 are 5, 17, 739. Prime factorization of 62815 in exponential form is:
62815 = 51 × 171 × 7391
Prime Factorization of 62833
Prime factors of 62833 are 19, 3307. Prime factorization of 62833 in exponential form is:
62833 = 191 × 33071
Now multiplying the highest exponent prime factors to calculate the LCM of 62815 and 62833.
LCM(62815,62833) = 51 × 171 × 7391 × 191 × 33071
LCM(62815,62833) = 3946854895
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