What is the Least Common Multiple of 52837 and 52855?
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 52837 and 52855 is 2792699635.
LCM(52837,52855) = 2792699635
Least Common Multiple of 52837 and 52855 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52837 and 52855, than apply into the LCM equation.
GCF(52837,52855) = 1
LCM(52837,52855) = ( 52837 × 52855) / 1
LCM(52837,52855) = 2792699635 / 1
LCM(52837,52855) = 2792699635
Least Common Multiple (LCM) of 52837 and 52855 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 52837 and 52855. First we will calculate the prime factors of 52837 and 52855.
Prime Factorization of 52837
Prime factors of 52837 are 52837. Prime factorization of 52837 in exponential form is:
52837 = 528371
Prime Factorization of 52855
Prime factors of 52855 are 5, 11, 31. Prime factorization of 52855 in exponential form is:
52855 = 51 × 111 × 312
Now multiplying the highest exponent prime factors to calculate the LCM of 52837 and 52855.
LCM(52837,52855) = 528371 × 51 × 111 × 312
LCM(52837,52855) = 2792699635
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