What is the Least Common Multiple of 7855 and 7863?
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 7855 and 7863 is 61763865.
LCM(7855,7863) = 61763865
Least Common Multiple of 7855 and 7863 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7855 and 7863, than apply into the LCM equation.
GCF(7855,7863) = 1
LCM(7855,7863) = ( 7855 × 7863) / 1
LCM(7855,7863) = 61763865 / 1
LCM(7855,7863) = 61763865
Least Common Multiple (LCM) of 7855 and 7863 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7855 and 7863. First we will calculate the prime factors of 7855 and 7863.
Prime Factorization of 7855
Prime factors of 7855 are 5, 1571. Prime factorization of 7855 in exponential form is:
7855 = 51 × 15711
Prime Factorization of 7863
Prime factors of 7863 are 3, 2621. Prime factorization of 7863 in exponential form is:
7863 = 31 × 26211
Now multiplying the highest exponent prime factors to calculate the LCM of 7855 and 7863.
LCM(7855,7863) = 51 × 15711 × 31 × 26211
LCM(7855,7863) = 61763865
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