What is the Least Common Multiple of 93877 and 93883?
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 93877 and 93883 is 8813454391.
LCM(93877,93883) = 8813454391
Least Common Multiple of 93877 and 93883 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93877 and 93883, than apply into the LCM equation.
GCF(93877,93883) = 1
LCM(93877,93883) = ( 93877 × 93883) / 1
LCM(93877,93883) = 8813454391 / 1
LCM(93877,93883) = 8813454391
Least Common Multiple (LCM) of 93877 and 93883 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93877 and 93883. First we will calculate the prime factors of 93877 and 93883.
Prime Factorization of 93877
Prime factors of 93877 are 7, 13411. Prime factorization of 93877 in exponential form is:
93877 = 71 × 134111
Prime Factorization of 93883
Prime factors of 93883 are 223, 421. Prime factorization of 93883 in exponential form is:
93883 = 2231 × 4211
Now multiplying the highest exponent prime factors to calculate the LCM of 93877 and 93883.
LCM(93877,93883) = 71 × 134111 × 2231 × 4211
LCM(93877,93883) = 8813454391
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