What is the Least Common Multiple of 93806 and 93811?
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 93806 and 93811 is 8800034666.
LCM(93806,93811) = 8800034666
Least Common Multiple of 93806 and 93811 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93806 and 93811, than apply into the LCM equation.
GCF(93806,93811) = 1
LCM(93806,93811) = ( 93806 × 93811) / 1
LCM(93806,93811) = 8800034666 / 1
LCM(93806,93811) = 8800034666
Least Common Multiple (LCM) of 93806 and 93811 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93806 and 93811. First we will calculate the prime factors of 93806 and 93811.
Prime Factorization of 93806
Prime factors of 93806 are 2, 17, 31, 89. Prime factorization of 93806 in exponential form is:
93806 = 21 × 171 × 311 × 891
Prime Factorization of 93811
Prime factors of 93811 are 93811. Prime factorization of 93811 in exponential form is:
93811 = 938111
Now multiplying the highest exponent prime factors to calculate the LCM of 93806 and 93811.
LCM(93806,93811) = 21 × 171 × 311 × 891 × 938111
LCM(93806,93811) = 8800034666
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