What is the Least Common Multiple of 93863 and 93868?
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 93863 and 93868 is 8810732084.
LCM(93863,93868) = 8810732084
Least Common Multiple of 93863 and 93868 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93863 and 93868, than apply into the LCM equation.
GCF(93863,93868) = 1
LCM(93863,93868) = ( 93863 × 93868) / 1
LCM(93863,93868) = 8810732084 / 1
LCM(93863,93868) = 8810732084
Least Common Multiple (LCM) of 93863 and 93868 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93863 and 93868. First we will calculate the prime factors of 93863 and 93868.
Prime Factorization of 93863
Prime factors of 93863 are 7, 11, 23, 53. Prime factorization of 93863 in exponential form is:
93863 = 71 × 111 × 231 × 531
Prime Factorization of 93868
Prime factors of 93868 are 2, 31, 757. Prime factorization of 93868 in exponential form is:
93868 = 22 × 311 × 7571
Now multiplying the highest exponent prime factors to calculate the LCM of 93863 and 93868.
LCM(93863,93868) = 71 × 111 × 231 × 531 × 22 × 311 × 7571
LCM(93863,93868) = 8810732084
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