What is the Least Common Multiple of 77871 and 77885?
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 77871 and 77885 is 6064982835.
LCM(77871,77885) = 6064982835
Least Common Multiple of 77871 and 77885 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77871 and 77885, than apply into the LCM equation.
GCF(77871,77885) = 1
LCM(77871,77885) = ( 77871 × 77885) / 1
LCM(77871,77885) = 6064982835 / 1
LCM(77871,77885) = 6064982835
Least Common Multiple (LCM) of 77871 and 77885 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77871 and 77885. First we will calculate the prime factors of 77871 and 77885.
Prime Factorization of 77871
Prime factors of 77871 are 3, 101, 257. Prime factorization of 77871 in exponential form is:
77871 = 31 × 1011 × 2571
Prime Factorization of 77885
Prime factors of 77885 are 5, 37, 421. Prime factorization of 77885 in exponential form is:
77885 = 51 × 371 × 4211
Now multiplying the highest exponent prime factors to calculate the LCM of 77871 and 77885.
LCM(77871,77885) = 31 × 1011 × 2571 × 51 × 371 × 4211
LCM(77871,77885) = 6064982835
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