What is the Least Common Multiple of 93687 and 93694?
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 93687 and 93694 is 8777909778.
LCM(93687,93694) = 8777909778
Least Common Multiple of 93687 and 93694 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93687 and 93694, than apply into the LCM equation.
GCF(93687,93694) = 1
LCM(93687,93694) = ( 93687 × 93694) / 1
LCM(93687,93694) = 8777909778 / 1
LCM(93687,93694) = 8777909778
Least Common Multiple (LCM) of 93687 and 93694 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93687 and 93694. First we will calculate the prime factors of 93687 and 93694.
Prime Factorization of 93687
Prime factors of 93687 are 3, 11, 17, 167. Prime factorization of 93687 in exponential form is:
93687 = 31 × 111 × 171 × 1671
Prime Factorization of 93694
Prime factors of 93694 are 2, 79, 593. Prime factorization of 93694 in exponential form is:
93694 = 21 × 791 × 5931
Now multiplying the highest exponent prime factors to calculate the LCM of 93687 and 93694.
LCM(93687,93694) = 31 × 111 × 171 × 1671 × 21 × 791 × 5931
LCM(93687,93694) = 8777909778
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