What is the Least Common Multiple of 93772 and 93786?
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 93772 and 93786 is 628178628.
LCM(93772,93786) = 628178628
Least Common Multiple of 93772 and 93786 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93772 and 93786, than apply into the LCM equation.
GCF(93772,93786) = 14
LCM(93772,93786) = ( 93772 × 93786) / 14
LCM(93772,93786) = 8794500792 / 14
LCM(93772,93786) = 628178628
Least Common Multiple (LCM) of 93772 and 93786 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93772 and 93786. First we will calculate the prime factors of 93772 and 93786.
Prime Factorization of 93772
Prime factors of 93772 are 2, 7, 17, 197. Prime factorization of 93772 in exponential form is:
93772 = 22 × 71 × 171 × 1971
Prime Factorization of 93786
Prime factors of 93786 are 2, 3, 7, 11, 29. Prime factorization of 93786 in exponential form is:
93786 = 21 × 31 × 72 × 111 × 291
Now multiplying the highest exponent prime factors to calculate the LCM of 93772 and 93786.
LCM(93772,93786) = 22 × 72 × 171 × 1971 × 31 × 111 × 291
LCM(93772,93786) = 628178628
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