What is the Least Common Multiple of 93881 and 93885?
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 93881 and 93885 is 8814017685.
LCM(93881,93885) = 8814017685
Least Common Multiple of 93881 and 93885 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93881 and 93885, than apply into the LCM equation.
GCF(93881,93885) = 1
LCM(93881,93885) = ( 93881 × 93885) / 1
LCM(93881,93885) = 8814017685 / 1
LCM(93881,93885) = 8814017685
Least Common Multiple (LCM) of 93881 and 93885 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93881 and 93885. First we will calculate the prime factors of 93881 and 93885.
Prime Factorization of 93881
Prime factors of 93881 are 269, 349. Prime factorization of 93881 in exponential form is:
93881 = 2691 × 3491
Prime Factorization of 93885
Prime factors of 93885 are 3, 5, 11, 569. Prime factorization of 93885 in exponential form is:
93885 = 31 × 51 × 111 × 5691
Now multiplying the highest exponent prime factors to calculate the LCM of 93881 and 93885.
LCM(93881,93885) = 2691 × 3491 × 31 × 51 × 111 × 5691
LCM(93881,93885) = 8814017685
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