What is the Least Common Multiple of 78881 and 78886?
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 78881 and 78886 is 6222606566.
LCM(78881,78886) = 6222606566
Least Common Multiple of 78881 and 78886 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78881 and 78886, than apply into the LCM equation.
GCF(78881,78886) = 1
LCM(78881,78886) = ( 78881 × 78886) / 1
LCM(78881,78886) = 6222606566 / 1
LCM(78881,78886) = 6222606566
Least Common Multiple (LCM) of 78881 and 78886 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 78881 and 78886. First we will calculate the prime factors of 78881 and 78886.
Prime Factorization of 78881
Prime factors of 78881 are 11, 71, 101. Prime factorization of 78881 in exponential form is:
78881 = 111 × 711 × 1011
Prime Factorization of 78886
Prime factors of 78886 are 2, 39443. Prime factorization of 78886 in exponential form is:
78886 = 21 × 394431
Now multiplying the highest exponent prime factors to calculate the LCM of 78881 and 78886.
LCM(78881,78886) = 111 × 711 × 1011 × 21 × 394431
LCM(78881,78886) = 6222606566
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