What is the Least Common Multiple of 985 and 993?
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 985 and 993 is 978105.
LCM(985,993) = 978105
Least Common Multiple of 985 and 993 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 985 and 993, than apply into the LCM equation.
GCF(985,993) = 1
LCM(985,993) = ( 985 × 993) / 1
LCM(985,993) = 978105 / 1
LCM(985,993) = 978105
Least Common Multiple (LCM) of 985 and 993 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 985 and 993. First we will calculate the prime factors of 985 and 993.
Prime Factorization of 985
Prime factors of 985 are 5, 197. Prime factorization of 985 in exponential form is:
985 = 51 × 1971
Prime Factorization of 993
Prime factors of 993 are 3, 331. Prime factorization of 993 in exponential form is:
993 = 31 × 3311
Now multiplying the highest exponent prime factors to calculate the LCM of 985 and 993.
LCM(985,993) = 51 × 1971 × 31 × 3311
LCM(985,993) = 978105
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