What is the Least Common Multiple of 7886 and 7899?
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 7886 and 7899 is 62291514.
LCM(7886,7899) = 62291514
Least Common Multiple of 7886 and 7899 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7886 and 7899, than apply into the LCM equation.
GCF(7886,7899) = 1
LCM(7886,7899) = ( 7886 × 7899) / 1
LCM(7886,7899) = 62291514 / 1
LCM(7886,7899) = 62291514
Least Common Multiple (LCM) of 7886 and 7899 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 7886 and 7899. First we will calculate the prime factors of 7886 and 7899.
Prime Factorization of 7886
Prime factors of 7886 are 2, 3943. Prime factorization of 7886 in exponential form is:
7886 = 21 × 39431
Prime Factorization of 7899
Prime factors of 7899 are 3, 2633. Prime factorization of 7899 in exponential form is:
7899 = 31 × 26331
Now multiplying the highest exponent prime factors to calculate the LCM of 7886 and 7899.
LCM(7886,7899) = 21 × 39431 × 31 × 26331
LCM(7886,7899) = 62291514
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