What is the Least Common Multiple of 93751 and 93767?
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 93751 and 93767 is 8790750017.
LCM(93751,93767) = 8790750017
Least Common Multiple of 93751 and 93767 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93751 and 93767, than apply into the LCM equation.
GCF(93751,93767) = 1
LCM(93751,93767) = ( 93751 × 93767) / 1
LCM(93751,93767) = 8790750017 / 1
LCM(93751,93767) = 8790750017
Least Common Multiple (LCM) of 93751 and 93767 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93751 and 93767. First we will calculate the prime factors of 93751 and 93767.
Prime Factorization of 93751
Prime factors of 93751 are 7, 59, 227. Prime factorization of 93751 in exponential form is:
93751 = 71 × 591 × 2271
Prime Factorization of 93767
Prime factors of 93767 are 41, 2287. Prime factorization of 93767 in exponential form is:
93767 = 411 × 22871
Now multiplying the highest exponent prime factors to calculate the LCM of 93751 and 93767.
LCM(93751,93767) = 71 × 591 × 2271 × 411 × 22871
LCM(93751,93767) = 8790750017
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