What is the Least Common Multiple of 78811 and 78818?
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 78811 and 78818 is 6211725398.
LCM(78811,78818) = 6211725398
Least Common Multiple of 78811 and 78818 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78811 and 78818, than apply into the LCM equation.
GCF(78811,78818) = 1
LCM(78811,78818) = ( 78811 × 78818) / 1
LCM(78811,78818) = 6211725398 / 1
LCM(78811,78818) = 6211725398
Least Common Multiple (LCM) of 78811 and 78818 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 78811 and 78818. First we will calculate the prime factors of 78811 and 78818.
Prime Factorization of 78811
Prime factors of 78811 are 53, 1487. Prime factorization of 78811 in exponential form is:
78811 = 531 × 14871
Prime Factorization of 78818
Prime factors of 78818 are 2, 39409. Prime factorization of 78818 in exponential form is:
78818 = 21 × 394091
Now multiplying the highest exponent prime factors to calculate the LCM of 78811 and 78818.
LCM(78811,78818) = 531 × 14871 × 21 × 394091
LCM(78811,78818) = 6211725398
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